51920410631040 has 2688 divisors, whose sum is σ = 227317349687040. Its totient is φ = 11287019520000.

The previous prime is 51920410631003. The next prime is 51920410631051. The reversal of 51920410631040 is 4013601402915.

It is a happy number.

51920410631040 is a `hidden beast` number, since 5 + 1 + 9 + 2 + 0 + 4 + 10 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×51920410631040² (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 junction number, because it is equal to n+sod(n) for n = 51920410630986 and 51920410631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 43230982440 + ... + 43230983640.

Almost surely, 2^{51920410631040} 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 51920410631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113658674843520).

51920410631040 is an abundant number, since it is smaller than the sum of its proper divisors (175396939056000).

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

51920410631040 is a wasteful number, since it uses less digits than its factorization.

51920410631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 51920410631040 in words is "fifty-one trillion, nine hundred twenty billion, four hundred ten million, six hundred thirty-one thousand, forty".