5158188400 has 120 divisors (see below), whose sum is σ = 13181152880. Its totient is φ = 1934254080.

The previous prime is 5158188359. The next prime is 5158188401. The reversal of 5158188400 is 48818515.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158188401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733702 + ... + 740698.

Almost surely, 2^5158188400 is an apocalyptic number.

5158188400 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 5158188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590576440).

5158188400 is an abundant number, since it is smaller than the sum of its proper divisors (8022964480).

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

5158188400 is a wasteful number, since it uses less digits than its factorization.

5158188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 40.

The square root of 5158188400 is about 71820.5290985802. The cubic root of 5158188400 is about 1727.8222678855.

The spelling of 5158188400 in words is "five billion, one hundred fifty-eight million, one hundred eighty-eight thousand, four hundred".