51057930000 has 1200 divisors, whose sum is σ = 221566675968. Its totient is φ = 9820800000.

The previous prime is 51057929981. The next prime is 51057930013. The reversal of 51057930000 is 3975015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 51057930000.

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 239 ways as a sum of consecutive naturals, for example, 1647029985 + ... + 1647030015.

Almost surely, 2^51057930000 is an apocalyptic number.

51057930000 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 51057930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110783337984).

51057930000 is an abundant number, since it is smaller than the sum of its proper divisors (170508745968).

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

51057930000 is a wasteful number, since it uses less digits than its factorization.

51057930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The spelling of 51057930000 in words is "fifty-one billion, fifty-seven million, nine hundred thirty thousand".