51364392468480 has 3600 divisors, whose sum is σ = 238817423585664. Its totient is φ = 10487731322880.

The previous prime is 51364392468463. The next prime is 51364392468497. The reversal of 51364392468480 is 8486429346315.

51364392468480 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 4 + 3 + 92 + 4 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (51364392468463) and next prime (51364392468497).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1656915886065 + ... + 1656915886095.

Almost surely, 2^{51364392468480} 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 51364392468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119408711792832).

51364392468480 is an abundant number, since it is smaller than the sum of its proper divisors (187453031117184).

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

51364392468480 is an frugal number, since it uses more digits than its factorization.

51364392468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 51364392468480 in words is "fifty-one trillion, three hundred sixty-four billion, three hundred ninety-two million, four hundred sixty-eight thousand, four hundred eighty".