51464266920 has 480 divisors, whose sum is σ = 191254361760. Its totient is φ = 12402720000.

The previous prime is 51464266891. The next prime is 51464266961. The reversal of 51464266920 is 2966246415.

51464266920 is a `hidden beast` number, since 5 + 146 + 426 + 69 + 20 = 666.

51464266920 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 2×51464266920² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98401779 + ... + 98402301.

It is an arithmetic number, because the mean of its divisors is an integer number (398446587).

Almost surely, 2^51464266920 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 51464266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95627180880).

51464266920 is an abundant number, since it is smaller than the sum of its proper divisors (139790094840).

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

51464266920 is a wasteful number, since it uses less digits than its factorization.

51464266920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 51464266920 in words is "fifty-one billion, four hundred sixty-four million, two hundred sixty-six thousand, nine hundred twenty".