51108909600 has 288 divisors, whose sum is σ = 191393750016. Its totient is φ = 11604096000.

The previous prime is 51108909589. The next prime is 51108909613. The reversal of 51108909600 is 690980115.

It is a super-2 number, since 2×51108909600² (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, 2526727 + ... + 2546873.

It is an arithmetic number, because the mean of its divisors is an integer number (664561632).

Almost surely, 2^51108909600 is an apocalyptic number.

51108909600 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 51108909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95696875008).

51108909600 is an abundant number, since it is smaller than the sum of its proper divisors (140284840416).

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

51108909600 is a wasteful number, since it uses less digits than its factorization.

51108909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20328 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 51108909600 in words is "fifty-one billion, one hundred eight million, nine hundred nine thousand, six hundred".