51442585920 has 448 divisors, whose sum is σ = 203340614400. Its totient is φ = 12133048320.

The previous prime is 51442585919. The next prime is 51442585963. The reversal of 51442585920 is 2958524415.

51442585920 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 2 + 58 + 592 + 0 = 666.

51442585920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51442585920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3509166 + ... + 3523794.

It is an arithmetic number, because the mean of its divisors is an integer number (453885300).

Almost surely, 2^51442585920 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 51442585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101670307200).

51442585920 is an abundant number, since it is smaller than the sum of its proper divisors (151898028480).

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

51442585920 is a wasteful number, since it uses less digits than its factorization.

51442585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 51442585920 in words is "fifty-one billion, four hundred forty-two million, five hundred eighty-five thousand, nine hundred twenty".