51011027601120 has 384 divisors, whose sum is σ = 179905815936000. Its totient is φ = 13498862008320.

The previous prime is 51011027601007. The next prime is 51011027601133. The reversal of 51011027601120 is 2110672011015.

51011027601120 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 10 + 27 + 601 + 1 + 20 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386489925 + ... + 1386526715.

It is an arithmetic number, because the mean of its divisors is an integer number (468504729000).

Almost surely, 2^{51011027601120} 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 51011027601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89952907968000).

51011027601120 is an abundant number, since it is smaller than the sum of its proper divisors (128894788334880).

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

51011027601120 is a wasteful number, since it uses less digits than its factorization.

51011027601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39263 (or 39249 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 51011027601120 its reverse (2110672011015), we get a palindrome (53121699612135).

The spelling of 51011027601120 in words is "fifty-one trillion, eleven billion, twenty-seven million, six hundred one thousand, one hundred twenty".