51775524960120 has 1536 divisors, whose sum is σ = 203752160640000. Its totient is φ = 11592440893440.

The previous prime is 51775524960119. The next prime is 51775524960157. The reversal of 51775524960120 is 2106942557715.

51775524960120 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 5 + 5 + 2 + 4 + 9 + 601 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35633533314 + ... + 35633534766.

It is an arithmetic number, because the mean of its divisors is an integer number (132651146250).

Almost surely, 2^{51775524960120} 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 51775524960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101876080320000).

51775524960120 is an abundant number, since it is smaller than the sum of its proper divisors (151976635679880).

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

51775524960120 is a wasteful number, since it uses less digits than its factorization.

51775524960120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 51775524960120 in words is "fifty-one trillion, seven hundred seventy-five billion, five hundred twenty-four million, nine hundred sixty thousand, one hundred twenty".