51607940400 has 960 divisors, whose sum is σ = 204454056960. Its totient is φ = 12308889600.

The previous prime is 51607940399. The next prime is 51607940443. The reversal of 51607940400 is 404970615.

51607940400 is a `hidden beast` number, since 5 + 1 + 607 + 9 + 4 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 482317147 + ... + 482317253.

It is an arithmetic number, because the mean of its divisors is an integer number (212972976).

Almost surely, 2^51607940400 is an apocalyptic number.

51607940400 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 51607940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102227028480).

51607940400 is an abundant number, since it is smaller than the sum of its proper divisors (152846116560).

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

51607940400 is a wasteful number, since it uses less digits than its factorization.

51607940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51607940400 in words is "fifty-one billion, six hundred seven million, nine hundred forty thousand, four hundred".