51517640160 has 576 divisors, whose sum is σ = 209378856960. Its totient is φ = 11287019520.

The previous prime is 51517640149. The next prime is 51517640173. The reversal of 51517640160 is 6104671515.

It is a happy number.

51517640160 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 7 + 640 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35309511 + ... + 35310969.

It is an arithmetic number, because the mean of its divisors is an integer number (363504960).

Almost surely, 2^51517640160 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 51517640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689428480).

51517640160 is an abundant number, since it is smaller than the sum of its proper divisors (157861216800).

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

51517640160 is a wasteful number, since it uses less digits than its factorization.

51517640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 51517640160 in words is "fifty-one billion, five hundred seventeen million, six hundred forty thousand, one hundred sixty".