51150096000 has 512 divisors, whose sum is σ = 189798336000. Its totient is φ = 13539225600.

The previous prime is 51150095989. The next prime is 51150096001. The reversal of 51150096000 is 69005115.

51150096000 is a `hidden beast` number, since 5 + 1 + 1 + 50 + 0 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51150096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72143646 + ... + 72144354.

It is an arithmetic number, because the mean of its divisors is an integer number (370699875).

Almost surely, 2^51150096000 is an apocalyptic number.

51150096000 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 51150096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94899168000).

51150096000 is an abundant number, since it is smaller than the sum of its proper divisors (138648240000).

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

51150096000 is a wasteful number, since it uses less digits than its factorization.

51150096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 51150096000 in words is "fifty-one billion, one hundred fifty million, ninety-six thousand".