51409837371024 has 240 divisors, whose sum is σ = 161356223665728. Its totient is φ = 15144675840000.

The previous prime is 51409837370993. The next prime is 51409837371043. The reversal of 51409837371024 is 42017373890415.

51409837371024 is a `hidden beast` number, since 5 + 1 + 409 + 83 + 73 + 71 + 0 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16840719 + ... + 19657809.

Almost surely, 2^{51409837371024} 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 51409837371024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80678111832864).

51409837371024 is an abundant number, since it is smaller than the sum of its proper divisors (109946386294704).

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

51409837371024 is a wasteful number, since it uses less digits than its factorization.

51409837371024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817438 (or 2817429 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 51409837371024 in words is "fifty-one trillion, four hundred nine billion, eight hundred thirty-seven million, three hundred seventy-one thousand, twenty-four".