5135916400 has 60 divisors (see below), whose sum is σ = 12495306400. Its totient is φ = 2028349440.

The previous prime is 5135916397. The next prime is 5135916403. The reversal of 5135916400 is 46195315.

It is an interprime number because it is at equal distance from previous prime (5135916397) and next prime (5135916403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135916403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49665 + ... + 112864.

Almost surely, 2^5135916400 is an apocalyptic number.

5135916400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5135916400 is an abundant number, since it is smaller than the sum of its proper divisors (7359390000).

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

5135916400 is a wasteful number, since it uses less digits than its factorization.

5135916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162626 (or 162615 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 5135916400 is about 71665.3082041792. The cubic root of 5135916400 is about 1725.3318860123.

The spelling of 5135916400 in words is "five billion, one hundred thirty-five million, nine hundred sixteen thousand, four hundred".