50679014400 has 891 divisors, whose sum is σ = 214277599809. Its totient is φ = 11410882560.

The previous prime is 50679014377. The next prime is 50679014417. The reversal of 50679014400 is 441097605.

The square root of 50679014400 is 225120.

It is a perfect power (a square), and thus also a powerful number.

50679014400 is a `hidden beast` number, since 506 + 7 + 9 + 0 + 144 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18244445184 + 32434569216 = 135072^2 + 180096^2 .

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 80 ways as a sum of consecutive naturals, for example, 756403167 + ... + 756403233.

Almost surely, 2^50679014400 is an apocalyptic number.

50679014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50679014400 is the 225120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50679014400

50679014400 is an abundant number, since it is smaller than the sum of its proper divisors (163598585409).

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

50679014400 is a wasteful number, since it uses less digits than its factorization.

50679014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

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

Multiplying 50679014400 by its sum of digits (36), we get a square (1824444518400 = 1350720²).

50679014400 divided by its sum of digits (36) gives a square (1407750400 = 37520²).

The spelling of 50679014400 in words is "fifty billion, six hundred seventy-nine million, fourteen thousand, four hundred".