51125256780 has 144 divisors (see below), whose sum is σ = 157835311200. Its totient is φ = 12291664896.

The previous prime is 51125256719. The next prime is 51125256857. The reversal of 51125256780 is 8765252115.

51125256780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51125256780² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424496 + ... + 1459944.

It is an arithmetic number, because the mean of its divisors is an integer number (1096078550).

Almost surely, 2^51125256780 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 51125256780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78917655600).

51125256780 is an abundant number, since it is smaller than the sum of its proper divisors (106710054420).

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

51125256780 is a wasteful number, since it uses less digits than its factorization.

51125256780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35515 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 51125256780 in words is "fifty-one billion, one hundred twenty-five million, two hundred fifty-six thousand, seven hundred eighty".