51546395520 has 256 divisors, whose sum is σ = 182774779200. Its totient is φ = 13729554432.

The previous prime is 51546395503. The next prime is 51546395533. The reversal of 51546395520 is 2559364515.

51546395520 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 639 + 5 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×51546395520² (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 31 ways as a sum of consecutive naturals, for example, 25106814 + ... + 25108866.

Almost surely, 2^51546395520 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 51546395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91387389600).

51546395520 is an abundant number, since it is smaller than the sum of its proper divisors (131228383680).

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

51546395520 is a wasteful number, since it uses less digits than its factorization.

51546395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 51546395520 in words is "fifty-one billion, five hundred forty-six million, three hundred ninety-five thousand, five hundred twenty".