53004002688 has 1152 divisors, whose sum is σ = 209656512000. Its totient is φ = 12525207552.

The previous prime is 53004002609. The next prime is 53004002731. The reversal of 53004002688 is 88620040035.

53004002688 is a `hidden beast` number, since 530 + 0 + 40 + 0 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×53004002688² (a number of 22 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 595550548 + ... + 595550636.

It is an arithmetic number, because the mean of its divisors is an integer number (181993500).

Almost surely, 2^53004002688 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 53004002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104828256000).

53004002688 is an abundant number, since it is smaller than the sum of its proper divisors (156652509312).

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

53004002688 is a wasteful number, since it uses less digits than its factorization.

53004002688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 53004002688 in words is "fifty-three billion, four million, two thousand, six hundred eighty-eight".