51516288000 has 528 divisors, whose sum is σ = 187407009504. Its totient is φ = 13607731200.

The previous prime is 51516287947. The next prime is 51516288059. The reversal of 51516288000 is 88261515.

51516288000 is a `hidden beast` number, since 515 + 1 + 62 + 8 + 80 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226943887 + ... + 226944113.

It is an arithmetic number, because the mean of its divisors is an integer number (354937518).

Almost surely, 2^51516288000 is an apocalyptic number.

51516288000 is a gapful number since it is divisible by the number (50) 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 51516288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93703504752).

51516288000 is an abundant number, since it is smaller than the sum of its proper divisors (135890721504).

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

51516288000 is a wasteful number, since it uses less digits than its factorization.

51516288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 51516288000 in words is "fifty-one billion, five hundred sixteen million, two hundred eighty-eight thousand".