52151574424664 has 256 divisors, whose sum is σ = 116981114664960. Its totient is φ = 21485606400000.

The previous prime is 52151574424657. The next prime is 52151574424693. The reversal of 52151574424664 is 46642447515125.

It is a super-2 number, since 2×52151574424664² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10693369394 + ... + 10693374270.

It is an arithmetic number, because the mean of its divisors is an integer number (456957479160).

Almost surely, 2^{52151574424664} 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 52151574424664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490557332480).

52151574424664 is an abundant number, since it is smaller than the sum of its proper divisors (64829540240296).

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

52151574424664 is a wasteful number, since it uses less digits than its factorization.

52151574424664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5758 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 56.

The spelling of 52151574424664 in words is "fifty-two trillion, one hundred fifty-one billion, five hundred seventy-four million, four hundred twenty-four thousand, six hundred sixty-four".