52553094886656 has 2592 divisors, whose sum is σ = 205191279820800. Its totient is φ = 13282313748480.

The previous prime is 52553094886639. The next prime is 52553094886727. The reversal of 52553094886656 is 65668849035525.

It is a happy number.

52553094886656 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 30 + 9 + 488 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 219887426185 + ... + 219887426423.

It is an arithmetic number, because the mean of its divisors is an integer number (79163302400).

Almost surely, 2^{52553094886656} is an apocalyptic number.

52553094886656 is a gapful number since it is divisible by the number (56) 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 52553094886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102595639910400).

52553094886656 is an abundant number, since it is smaller than the sum of its proper divisors (152638184934144).

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

52553094886656 is a wasteful number, since it uses less digits than its factorization.

52553094886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 52553094886656 in words is "fifty-two trillion, five hundred fifty-three billion, ninety-four million, eight hundred eighty-six thousand, six hundred fifty-six".