51508100880 has 400 divisors, whose sum is σ = 186207081984. Its totient is φ = 13185469440.

The previous prime is 51508100767. The next prime is 51508100909. The reversal of 51508100880 is 8800180515.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16140085 + ... + 16143275.

Almost surely, 2^51508100880 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 51508100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93103540992).

51508100880 is an abundant number, since it is smaller than the sum of its proper divisors (134698981104).

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

51508100880 is a wasteful number, since it uses less digits than its factorization.

51508100880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 51508100880 in words is "fifty-one billion, five hundred eight million, one hundred thousand, eight hundred eighty".