51157626000 has 320 divisors, whose sum is σ = 183357597696. Its totient is φ = 12185856000.

The previous prime is 51157625983. The next prime is 51157626041. The reversal of 51157626000 is 62675115.

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 63 ways as a sum of consecutive naturals, for example, 2407422 + ... + 2428578.

Almost surely, 2^51157626000 is an apocalyptic number.

51157626000 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 51157626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91678798848).

51157626000 is an abundant number, since it is smaller than the sum of its proper divisors (132199971696).

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

51157626000 is a wasteful number, since it uses less digits than its factorization.

51157626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21211 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 51157626000 in words is "fifty-one billion, one hundred fifty-seven million, six hundred twenty-six thousand".