51106557500 has 60 divisors (see below), whose sum is σ = 112785740760. Its totient is φ = 20254968000.

The previous prime is 51106557449. The next prime is 51106557511. The reversal of 51106557500 is 575560115.

51106557500 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 2×51106557500² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 178727 + ... + 366273.

It is an arithmetic number, because the mean of its divisors is an integer number (1879762346).

Almost surely, 2^51106557500 is an apocalyptic number.

51106557500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51106557500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56392870380).

51106557500 is an abundant number, since it is smaller than the sum of its proper divisors (61679183260).

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

51106557500 is a wasteful number, since it uses less digits than its factorization.

51106557500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187680 (or 187663 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 35.

The spelling of 51106557500 in words is "fifty-one billion, one hundred six million, five hundred fifty-seven thousand, five hundred".