51546096000000 has 924 divisors, whose sum is σ = 212627484270864. Its totient is φ = 11781734400000.

The previous prime is 51546095999963. The next prime is 51546096000041. The reversal of 51546096000000 is 69064515.

51546096000000 is a `hidden beast` number, since 5 + 1 + 5 + 46 + 0 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1007974432 + ... + 1008025568.

Almost surely, 2^{51546096000000} is an apocalyptic number.

51546096000000 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 51546096000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106313742135432).

51546096000000 is an abundant number, since it is smaller than the sum of its proper divisors (161081388270864).

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

51546096000000 is an frugal number, since it uses more digits than its factorization.

51546096000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51200 (or 51154 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51546096000000 in words is "fifty-one trillion, five hundred forty-six billion, ninety-six million", and thus it is an aban number.