52412424970464 has 2304 divisors, whose sum is σ = 195323753963520. Its totient is φ = 13639019397120.

The previous prime is 52412424970457. The next prime is 52412424970523. The reversal of 52412424970464 is 46407942421425.

52412424970464 is a `hidden beast` number, since 5 + 24 + 12 + 42 + 49 + 70 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 52412424970464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53646289144 + ... + 53646290120.

It is an arithmetic number, because the mean of its divisors is an integer number (84775934880).

Almost surely, 2^{52412424970464} is an apocalyptic number.

52412424970464 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 52412424970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97661876981760).

52412424970464 is an abundant number, since it is smaller than the sum of its proper divisors (142911328993056).

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

52412424970464 is a wasteful number, since it uses less digits than its factorization.

52412424970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 52412424970464 in words is "fifty-two trillion, four hundred twelve billion, four hundred twenty-four million, nine hundred seventy thousand, four hundred sixty-four".