51043910400 has 864 divisors, whose sum is σ = 225271692800. Its totient is φ = 11048140800.

The previous prime is 51043910329. The next prime is 51043910413. The reversal of 51043910400 is 401934015.

51043910400 is a `hidden beast` number, since 510 + 43 + 9 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×51043910400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22981290 + ... + 22983510.

Almost surely, 2^51043910400 is an apocalyptic number.

51043910400 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 51043910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112635846400).

51043910400 is an abundant number, since it is smaller than the sum of its proper divisors (174227782400).

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

51043910400 is a wasteful number, since it uses less digits than its factorization.

51043910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 51043910400 in words is "fifty-one billion, forty-three million, nine hundred ten thousand, four hundred".