51690890472000 has 896 divisors, whose sum is σ = 195934530355200. Its totient is φ = 11894892134400.

The previous prime is 51690890471989. The next prime is 51690890472019. The reversal of 51690890472000 is 27409809615.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790263297 + ... + 790328703.

It is an arithmetic number, because the mean of its divisors is an integer number (218676931200).

Almost surely, 2^{51690890472000} is an apocalyptic number.

51690890472000 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 51690890472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97967265177600).

51690890472000 is an abundant number, since it is smaller than the sum of its proper divisors (144243639883200).

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

51690890472000 is a wasteful number, since it uses less digits than its factorization.

51690890472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65616 (or 65596 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 51690890472000 in words is "fifty-one trillion, six hundred ninety billion, eight hundred ninety million, four hundred seventy-two thousand".