5160149400 has 192 divisors, whose sum is σ = 19357332480. Its totient is φ = 1110067200.

The previous prime is 5160149359. The next prime is 5160149437. The reversal of 5160149400 is 49410615.

It is a happy number.

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

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, 35265 + ... + 107535.

It is an arithmetic number, because the mean of its divisors is an integer number (100819440).

Almost surely, 2^5160149400 is an apocalyptic number.

5160149400 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 5160149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678666240).

5160149400 is an abundant number, since it is smaller than the sum of its proper divisors (14197183080).

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

5160149400 is a wasteful number, since it uses less digits than its factorization.

5160149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72314 (or 72305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5160149400 is about 71834.1798867364. The cubic root of 5160149400 is about 1728.0411968273.

The spelling of 5160149400 in words is "five billion, one hundred sixty million, one hundred forty-nine thousand, four hundred".