52431106464 has 192 divisors, whose sum is σ = 167549316480. Its totient is φ = 15819356160.

The previous prime is 52431106457. The next prime is 52431106471. The reversal of 52431106464 is 46460113425.

52431106464 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 1 + 1 + 0 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52431106457) and next prime (52431106471).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202594 + ... + 2226270.

It is an arithmetic number, because the mean of its divisors is an integer number (872652690).

Almost surely, 2^52431106464 is an apocalyptic number.

52431106464 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 52431106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83774658240).

52431106464 is an abundant number, since it is smaller than the sum of its proper divisors (115118210016).

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

52431106464 is a wasteful number, since it uses less digits than its factorization.

52431106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23940 (or 23926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 52431106464 its reverse (46460113425), we get a palindrome (98891219889).

The spelling of 52431106464 in words is "fifty-two billion, four hundred thirty-one million, one hundred six thousand, four hundred sixty-four".