51034058880 has 512 divisors, whose sum is σ = 191371714560. Its totient is φ = 11326439424.

The previous prime is 51034058851. The next prime is 51034058899. The reversal of 51034058880 is 8885043015.

51034058880 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109280407 + ... + 109280873.

It is an arithmetic number, because the mean of its divisors is an integer number (373772880).

Almost surely, 2^51034058880 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 51034058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95685857280).

51034058880 is an abundant number, since it is smaller than the sum of its proper divisors (140337655680).

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

51034058880 is a wasteful number, since it uses less digits than its factorization.

51034058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 51034058880 in words is "fifty-one billion, thirty-four million, fifty-eight thousand, eight hundred eighty".