52641509437440 has 2912 divisors, whose sum is σ = 244431916531200. Its totient is φ = 10554617364480.

The previous prime is 52641509437399. The next prime is 52641509437523. The reversal of 52641509437440 is 4473490514625.

52641509437440 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 150 + 9 + 43 + 7 + 440 = 666.

It is a super-2 number, since 2×52641509437440² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 33338510571 + ... + 33338512149.

Almost surely, 2^{52641509437440} 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 52641509437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122215958265600).

52641509437440 is an abundant number, since it is smaller than the sum of its proper divisors (191790407093760).

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

52641509437440 is a wasteful number, since it uses less digits than its factorization.

52641509437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 52641509437440 in words is "fifty-two trillion, six hundred forty-one billion, five hundred nine million, four hundred thirty-seven thousand, four hundred forty".