51179761920 has 576 divisors, whose sum is σ = 205234606080. Its totient is φ = 10598252544.

The previous prime is 51179761889. The next prime is 51179761921. The reversal of 51179761920 is 2916797115.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51179761920.

It is not an unprimeable number, because it can be changed into a prime (51179761921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11744382 + ... + 11748738.

It is an arithmetic number, because the mean of its divisors is an integer number (356310080).

Almost surely, 2^51179761920 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 51179761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102617303040).

51179761920 is an abundant number, since it is smaller than the sum of its proper divisors (154054844160).

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

51179761920 is a wasteful number, since it uses less digits than its factorization.

51179761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 48.

The spelling of 51179761920 in words is "fifty-one billion, one hundred seventy-nine million, seven hundred sixty-one thousand, nine hundred twenty".