51900215851008 has 1920 divisors, whose sum is σ = 190079809920000. Its totient is φ = 14083785031680.

The previous prime is 51900215850943. The next prime is 51900215851051. The reversal of 51900215851008 is 80015851200915.

It is a happy number.

51900215851008 is a `hidden beast` number, since 51 + 9 + 0 + 0 + 2 + 1 + 585 + 10 + 0 + 8 = 666.

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, 117156243235 + ... + 117156243677.

It is an arithmetic number, because the mean of its divisors is an integer number (98999901000).

Almost surely, 2^{51900215851008} is an apocalyptic number.

51900215851008 is a gapful number since it is divisible by the number (58) 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 51900215851008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95039904960000).

51900215851008 is an abundant number, since it is smaller than the sum of its proper divisors (138179594068992).

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

51900215851008 is an equidigital number, since it uses as much as digits as its factorization.

51900215851008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 51900215851008 in words is "fifty-one trillion, nine hundred billion, two hundred fifteen million, eight hundred fifty-one thousand, eight".