5114592000 has 864 divisors, whose sum is σ = 21886824960. Its totient is φ = 1122508800.

The previous prime is 5114591959. The next prime is 5114592011. The reversal of 5114592000 is 2954115.

5114592000 is a `hidden beast` number, since 5 + 1 + 1 + 459 + 200 + 0 = 666.

It is a congruent number.

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, 86687971 + ... + 86688029.

Almost surely, 2^5114592000 is an apocalyptic number.

5114592000 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 5114592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943412480).

5114592000 is an abundant number, since it is smaller than the sum of its proper divisors (16772232960).

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

5114592000 is a wasteful number, since it uses less digits than its factorization.

5114592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5114592000 is about 71516.3757470973. The cubic root of 5114592000 is about 1722.9407058068.

The spelling of 5114592000 in words is "five billion, one hundred fourteen million, five hundred ninety-two thousand".