53345409446700 has 432 divisors, whose sum is σ = 192281208590016. Its totient is φ = 12117615206400.

The previous prime is 53345409446699. The next prime is 53345409446711. The reversal of 53345409446700 is 764490454335.

53345409446700 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 540 + 94 + 4 + 6 + 7 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2956889680 + ... + 2956907720.

Almost surely, 2^{53345409446700} is an apocalyptic number.

53345409446700 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 53345409446700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96140604295008).

53345409446700 is an abundant number, since it is smaller than the sum of its proper divisors (138935799143316).

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

53345409446700 is a wasteful number, since it uses less digits than its factorization.

53345409446700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20954 (or 20944 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 53345409446700 in words is "fifty-three trillion, three hundred forty-five billion, four hundred nine million, four hundred forty-six thousand, seven hundred".