53310769142400 has 3072 divisors, whose sum is σ = 254602904371200. Its totient is φ = 10570383360000.

The previous prime is 53310769142383. The next prime is 53310769142401. The reversal of 53310769142400 is 424196701335.

53310769142400 is a `hidden beast` number, since 5 + 3 + 31 + 0 + 76 + 9 + 142 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53310769142401) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 15055284630 + ... + 15055288170.

It is an arithmetic number, because the mean of its divisors is an integer number (82878549600).

Almost surely, 2^{53310769142400} is an apocalyptic number.

53310769142400 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 53310769142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127301452185600).

53310769142400 is an abundant number, since it is smaller than the sum of its proper divisors (201292135228800).

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

53310769142400 is a wasteful number, since it uses less digits than its factorization.

53310769142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 53310769142400 in words is "fifty-three trillion, three hundred ten billion, seven hundred sixty-nine million, one hundred forty-two thousand, four hundred".