51635042917920 has 4608 divisors, whose sum is σ = 249945403760640. Its totient is φ = 9807723233280.

The previous prime is 51635042917889. The next prime is 51635042917963. The reversal of 51635042917920 is 2971924053615.

51635042917920 is a `hidden beast` number, since 5 + 1 + 63 + 504 + 2 + 9 + 1 + 79 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 309191873677 + ... + 309191873843.

It is an arithmetic number, because the mean of its divisors is an integer number (54241624080).

Almost surely, 2^{51635042917920} 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 51635042917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124972701880320).

51635042917920 is an abundant number, since it is smaller than the sum of its proper divisors (198310360842720).

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

51635042917920 is a wasteful number, since it uses less digits than its factorization.

51635042917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 51635042917920 in words is "fifty-one trillion, six hundred thirty-five billion, forty-two million, nine hundred seventeen thousand, nine hundred twenty".