51160372416000 has 1920 divisors, whose sum is σ = 199338965489664. Its totient is φ = 13066068787200.

The previous prime is 51160372415989. The next prime is 51160372416007. The reversal of 51160372416000 is 61427306115.

51160372416000 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 0 + 3 + 7 + 2 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51160372416007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38553407337 + ... + 38553408663.

Almost surely, 2^{51160372416000} is an apocalyptic number.

51160372416000 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 51160372416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99669482744832).

51160372416000 is an abundant number, since it is smaller than the sum of its proper divisors (148178593073664).

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

51160372416000 is an equidigital number, since it uses as much as digits as its factorization.

51160372416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51160372416000 in words is "fifty-one trillion, one hundred sixty billion, three hundred seventy-two million, four hundred sixteen thousand".