5096264400 has 90 divisors (see below), whose sum is σ = 17685465590. Its totient is φ = 1359002880.

The previous prime is 5096264347. The next prime is 5096264423. The reversal of 5096264400 is 44626905.

5096264400 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 267126336 + 4829138064 = 16344^2 + 69492^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 704215 + ... + 711414.

Almost surely, 2^5096264400 is an apocalyptic number.

5096264400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5096264400 is an abundant number, since it is smaller than the sum of its proper divisors (12589201190).

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

5096264400 is a wasteful number, since it uses less digits than its factorization.

5096264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415653 (or 1415639 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5096264400 is about 71388.1250629263. The cubic root of 5096264400 is about 1720.8802507140.

The spelling of 5096264400 in words is "five billion, ninety-six million, two hundred sixty-four thousand, four hundred".