51028094880 has 1152 divisors, whose sum is σ = 224682232320. Its totient is φ = 10669916160.

The previous prime is 51028094851. The next prime is 51028094899. The reversal of 51028094880 is 8849082015.

It is a happy number.

51028094880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189695386 + ... + 189695654.

It is an arithmetic number, because the mean of its divisors is an integer number (195036660).

Almost surely, 2^51028094880 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 51028094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112341116160).

51028094880 is an abundant number, since it is smaller than the sum of its proper divisors (173654137440).

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

51028094880 is a wasteful number, since it uses less digits than its factorization.

51028094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 51028094880 in words is "fifty-one billion, twenty-eight million, ninety-four thousand, eight hundred eighty".