51132915360 has 288 divisors, whose sum is σ = 181775543040. Its totient is φ = 13573536768.

The previous prime is 51132915331. The next prime is 51132915413. The reversal of 51132915360 is 6351923115.

It is a happy number.

51132915360 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 291 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51132915360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8900649 + ... + 8906391.

It is an arithmetic number, because the mean of its divisors is an integer number (631165080).

Almost surely, 2^51132915360 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 51132915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90887771520).

51132915360 is an abundant number, since it is smaller than the sum of its proper divisors (130642627680).

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

51132915360 is a wasteful number, since it uses less digits than its factorization.

51132915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 51132915360 in words is "fifty-one billion, one hundred thirty-two million, nine hundred fifteen thousand, three hundred sixty".