51204517701120 has 2240 divisors, whose sum is σ = 218502322384896. Its totient is φ = 11256204165120.

The previous prime is 51204517701091. The next prime is 51204517701137. The reversal of 51204517701120 is 2110771540215.

It is a happy number.

51204517701120 is a `hidden beast` number, since 5 + 1 + 20 + 4 + 517 + 7 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×51204517701120² (a number of 28 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 91929115882 + ... + 91929116438.

Almost surely, 2^{51204517701120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51204517701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109251161192448).

51204517701120 is an abundant number, since it is smaller than the sum of its proper divisors (167297804683776).

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

51204517701120 is an equidigital number, since it uses as much as digits as its factorization.

51204517701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 51204517701120 in words is "fifty-one trillion, two hundred four billion, five hundred seventeen million, seven hundred one thousand, one hundred twenty".