5158070400 has 192 divisors, whose sum is σ = 19416703680. Its totient is φ = 1178972160.

The previous prime is 5158070363. The next prime is 5158070417. The reversal of 5158070400 is 40708515.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28822 + ... + 105578.

It is an arithmetic number, because the mean of its divisors is an integer number (101128665).

Almost surely, 2^5158070400 is an apocalyptic number.

5158070400 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 5158070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708351840).

5158070400 is an abundant number, since it is smaller than the sum of its proper divisors (14258633280).

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

5158070400 is a wasteful number, since it uses less digits than its factorization.

5158070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76791 (or 76774 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5158070400 is about 71819.7076017440. The cubic root of 5158070400 is about 1727.8090924212.

Adding to 5158070400 its reverse (40708515), we get a palindrome (5198778915).

The spelling of 5158070400 in words is "five billion, one hundred fifty-eight million, seventy thousand, four hundred".