53261658987264 has 864 divisors, whose sum is σ = 200521002106880. Its totient is φ = 13202802966528.

The previous prime is 53261658987247. The next prime is 53261658987287. The reversal of 53261658987264 is 46278985616235.

53261658987264 is a `hidden beast` number, since 5 + 3 + 2 + 6 + 16 + 589 + 8 + 7 + 26 + 4 = 666.

It is a super-2 number, since 2×53261658987264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53261658987192 and 53261658987201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505866594 + ... + 505971870.

Almost surely, 2^{53261658987264} 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 53261658987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100260501053440).

53261658987264 is an abundant number, since it is smaller than the sum of its proper divisors (147259343119616).

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

53261658987264 is a wasteful number, since it uses less digits than its factorization.

53261658987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105465 (or 105448 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 53261658987264 in words is "fifty-three trillion, two hundred sixty-one billion, six hundred fifty-eight million, nine hundred eighty-seven thousand, two hundred sixty-four".