51235850356560 has 640 divisors, whose sum is σ = 178569245122560. Its totient is φ = 13502339794944.

The previous prime is 51235850356499. The next prime is 51235850356589. The reversal of 51235850356560 is 6565305853215.

51235850356560 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 585 + 0 + 3 + 5 + 6 + 56 + 0 = 666.

It is a super-2 number, since 2×51235850356560² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51235850356497 and 51235850356506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75015885979 + ... + 75015886661.

It is an arithmetic number, because the mean of its divisors is an integer number (279014445504).

Almost surely, 2^{51235850356560} 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 51235850356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89284622561280).

51235850356560 is an abundant number, since it is smaller than the sum of its proper divisors (127333394766000).

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

51235850356560 is a wasteful number, since it uses less digits than its factorization.

51235850356560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 51235850356560 in words is "fifty-one trillion, two hundred thirty-five billion, eight hundred fifty million, three hundred fifty-six thousand, five hundred sixty".