51005510600 has 96 divisors (see below), whose sum is σ = 130514012640. Its totient is φ = 18383232000.

The previous prime is 51005510599. The next prime is 51005510603. The reversal of 51005510600 is 601550015.

It is a super-2 number, since 2×51005510600² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51005510603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146015 + ... + 351185.

It is an arithmetic number, because the mean of its divisors is an integer number (1359520965).

Almost surely, 2^51005510600 is an apocalyptic number.

51005510600 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 51005510600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65257006320).

51005510600 is an abundant number, since it is smaller than the sum of its proper divisors (79508502040).

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

51005510600 is a wasteful number, since it uses less digits than its factorization.

51005510600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205311 (or 205302 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 51005510600 in words is "fifty-one billion, five million, five hundred ten thousand, six hundred".