52028644791564 has 336 divisors, whose sum is σ = 156788371880448. Its totient is φ = 14791780168704.

The previous prime is 52028644791559. The next prime is 52028644791581. The reversal of 52028644791564 is 46519744682025.

52028644791564 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 8 + 6 + 4 + 479 + 156 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3509039919 + ... + 3509054745.

It is an arithmetic number, because the mean of its divisors is an integer number (466632059168).

Almost surely, 2^{52028644791564} is an apocalyptic number.

52028644791564 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 52028644791564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78394185940224).

52028644791564 is an abundant number, since it is smaller than the sum of its proper divisors (104759727088884).

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

52028644791564 is a wasteful number, since it uses less digits than its factorization.

52028644791564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15696 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 52028644791564 in words is "fifty-two trillion, twenty-eight billion, six hundred forty-four million, seven hundred ninety-one thousand, five hundred sixty-four".