52431910272 has 384 divisors, whose sum is σ = 187528011840. Its totient is φ = 13716946944.

The previous prime is 52431910261. The next prime is 52431910277. The reversal of 52431910272 is 27201913425.

52431910272 is a `hidden beast` number, since 52 + 431 + 9 + 102 + 72 = 666.

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

It is a super-2 number, since 2×52431910272² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52431910277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5067088 + ... + 5077424.

Almost surely, 2^52431910272 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 52431910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93764005920).

52431910272 is an abundant number, since it is smaller than the sum of its proper divisors (135096101568).

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

52431910272 is a wasteful number, since it uses less digits than its factorization.

52431910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 52431910272 in words is "fifty-two billion, four hundred thirty-one million, nine hundred ten thousand, two hundred seventy-two".