51132479904 has 384 divisors, whose sum is σ = 166317096960. Its totient is φ = 15343292160.

The previous prime is 51132479887. The next prime is 51132479917. The reversal of 51132479904 is 40997423115.

51132479904 is a `hidden beast` number, since 511 + 3 + 2 + 47 + 9 + 90 + 4 = 666.

It is a super-2 number, since 2×51132479904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51132479904.

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, 97767387 + ... + 97767909.

It is an arithmetic number, because the mean of its divisors is an integer number (433117440).

Almost surely, 2^51132479904 is an apocalyptic number.

51132479904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51132479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83158548480).

51132479904 is an abundant number, since it is smaller than the sum of its proper divisors (115184617056).

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

51132479904 is a wasteful number, since it uses less digits than its factorization.

51132479904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 51132479904 in words is "fifty-one billion, one hundred thirty-two million, four hundred seventy-nine thousand, nine hundred four".