53332568640 has 1344 divisors, whose sum is σ = 226373253120. Its totient is φ = 11731599360.

The previous prime is 53332568617. The next prime is 53332568683. The reversal of 53332568640 is 4686523335.

53332568640 is a `hidden beast` number, since 5 + 333 + 256 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×53332568640² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1006274854 + ... + 1006274906.

It is an arithmetic number, because the mean of its divisors is an integer number (168432480).

Almost surely, 2^53332568640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53332568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113186626560).

53332568640 is an abundant number, since it is smaller than the sum of its proper divisors (173040684480).

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

53332568640 is a wasteful number, since it uses less digits than its factorization.

53332568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 53332568640 in words is "fifty-three billion, three hundred thirty-two million, five hundred sixty-eight thousand, six hundred forty".