51030120960000 has 6240 divisors, whose sum is σ = 253205145916800. Its totient is φ = 10032906240000.

The previous prime is 51030120959929. The next prime is 51030120960047. The reversal of 51030120960000 is 6902103015.

51030120960000 is a `hidden beast` number, since 5 + 1 + 0 + 30 + 1 + 20 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 836559359970 + ... + 836559360030.

Almost surely, 2^{51030120960000} is an apocalyptic number.

51030120960000 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 51030120960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126602572958400).

51030120960000 is an abundant number, since it is smaller than the sum of its proper divisors (202175024956800).

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

51030120960000 is a wasteful number, since it uses less digits than its factorization.

51030120960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 51030120960000 in words is "fifty-one trillion, thirty billion, one hundred twenty million, nine hundred sixty thousand".