51105085938000 has 480 divisors, whose sum is σ = 184598473512960. Its totient is φ = 13169211494400.

The previous prime is 51105085937951. The next prime is 51105085938031. The reversal of 51105085938000 is 83958050115.

51105085938000 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 50 + 8 + 593 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×51105085938000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66451672 + ... + 67216328.

It is an arithmetic number, because the mean of its divisors is an integer number (384580153152).

Almost surely, 2^{51105085938000} is an apocalyptic number.

51105085938000 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 51105085938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92299236756480).

51105085938000 is an abundant number, since it is smaller than the sum of its proper divisors (133493387574960).

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

51105085938000 is a wasteful number, since it uses less digits than its factorization.

51105085938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764812 (or 764793 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 51105085938000 in words is "fifty-one trillion, one hundred five billion, eighty-five million, nine hundred thirty-eight thousand".