51116832000 has 1440 divisors, whose sum is σ = 215522090784. Its totient is φ = 11943936000.

The previous prime is 51116831981. The next prime is 51116832029. The reversal of 51116832000 is 23861115.

51116832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 45974221056 + 5142610944 = 214416^2 + 71712^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×51116832000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1246751980 + ... + 1246752020.

Almost surely, 2^51116832000 is an apocalyptic number.

51116832000 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 51116832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107761045392).

51116832000 is an abundant number, since it is smaller than the sum of its proper divisors (164405258784).

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

51116832000 is a wasteful number, since it uses less digits than its factorization.

51116832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 51116832000 in words is "fifty-one billion, one hundred sixteen million, eight hundred thirty-two thousand".