53074665504 has 480 divisors, whose sum is σ = 185844105216. Its totient is φ = 14539875840.

The previous prime is 53074665451. The next prime is 53074665559. The reversal of 53074665504 is 40556647035.

53074665504 is a `hidden beast` number, since 5 + 30 + 7 + 4 + 66 + 550 + 4 = 666.

It is a super-2 number, since 2×53074665504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53074665504.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71432557 + ... + 71433299.

Almost surely, 2^53074665504 is an apocalyptic number.

53074665504 is a gapful number since it is divisible by the number (54) 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 53074665504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92922052608).

53074665504 is an abundant number, since it is smaller than the sum of its proper divisors (132769439712).

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

53074665504 is a wasteful number, since it uses less digits than its factorization.

53074665504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 53074665504 in words is "fifty-three billion, seventy-four million, six hundred sixty-five thousand, five hundred four".