52956421856640 has 384 divisors, whose sum is σ = 187356491618400. Its totient is φ = 13777847156736.

The previous prime is 52956421856633. The next prime is 52956421856677. The reversal of 52956421856640 is 4665812465925.

52956421856640 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 6 + 4 + 21 + 8 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54160572 + ... + 55129668.

Almost surely, 2^{52956421856640} 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 52956421856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93678245809200).

52956421856640 is an abundant number, since it is smaller than the sum of its proper divisors (134400069761760).

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

52956421856640 is a wasteful number, since it uses less digits than its factorization.

52956421856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969354 (or 969339 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 52956421856640 in words is "fifty-two trillion, nine hundred fifty-six billion, four hundred twenty-one million, eight hundred fifty-six thousand, six hundred forty".