53346004004700 has 864 divisors, whose sum is σ = 197926094419200. Its totient is φ = 12190357440000.

The previous prime is 53346004004677. The next prime is 53346004004723. The reversal of 53346004004700 is 740040064335.

It is a happy number.

53346004004700 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 600 + 4 + 0 + 0 + 47 + 0 + 0 = 666.

53346004004700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53346004004677) and next prime (53346004004723).

It is a super-2 number, since 2×53346004004700² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28062073750 + ... + 28062075650.

It is an arithmetic number, because the mean of its divisors is an integer number (229081127800).

Almost surely, 2^{53346004004700} is an apocalyptic number.

53346004004700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53346004004700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98963047209600).

53346004004700 is an abundant number, since it is smaller than the sum of its proper divisors (144580090414500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53346004004700 is a wasteful number, since it uses less digits than its factorization.

53346004004700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 53346004004700 in words is "fifty-three trillion, three hundred forty-six billion, four million, four thousand, seven hundred".