51155600 has 120 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 18869760.

The previous prime is 51155579. The next prime is 51155617. The reversal of 51155600 is 655115.

It is a super-2 number, since 2×51155600² = 5233790822720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402737 + ... + 402863.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^51155600 is an apocalyptic number.

51155600 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 51155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

51155600 is an abundant number, since it is smaller than the sum of its proper divisors (81693040).

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

51155600 is a wasteful number, since it uses less digits than its factorization.

51155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

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

The square root of 51155600 is about 7152.3143107668. The cubic root of 51155600 is about 371.2197389053.

The spelling of 51155600 in words is "fifty-one million, one hundred fifty-five thousand, six hundred".