51090278400 has 864 divisors, whose sum is σ = 214193790720. Its totient is φ = 11395399680.

The previous prime is 51090278363. The next prime is 51090278467. The reversal of 51090278400 is 487209015.

It is a super-2 number, since 2×51090278400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151603032 + ... + 151603368.

It is an arithmetic number, because the mean of its divisors is an integer number (247909480).

Almost surely, 2^51090278400 is an apocalyptic number.

51090278400 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 51090278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107096895360).

51090278400 is an abundant number, since it is smaller than the sum of its proper divisors (163103512320).

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

51090278400 is a wasteful number, since it uses less digits than its factorization.

51090278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51090278400 in words is "fifty-one billion, ninety million, two hundred seventy-eight thousand, four hundred".