5162594400 has 288 divisors, whose sum is σ = 18992534400. Its totient is φ = 1353024000.

The previous prime is 5162594399. The next prime is 5162594447. The reversal of 5162594400 is 44952615.

5162594400 is a `hidden beast` number, since 5 + 1 + 62 + 594 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5162594400² = 53304761877822720000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1272375 + ... + 1276425.

It is an arithmetic number, because the mean of its divisors is an integer number (65946300).

Almost surely, 2^5162594400 is an apocalyptic number.

5162594400 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 5162594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496267200).

5162594400 is an abundant number, since it is smaller than the sum of its proper divisors (13829940000).

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

5162594400 is a wasteful number, since it uses less digits than its factorization.

5162594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5162594400 is about 71851.1962322131. The cubic root of 5162594400 is about 1728.3140825692.

The spelling of 5162594400 in words is "five billion, one hundred sixty-two million, five hundred ninety-four thousand, four hundred".