5160727400 has 96 divisors (see below), whose sum is σ = 13014713880. Its totient is φ = 1895424000.

The previous prime is 5160727357. The next prime is 5160727459. The reversal of 5160727400 is 47270615.

It can be written as a sum of positive squares in 12 ways, for example, as 80174116 + 5080553284 = 8954^2 + 71278^2 .

It is a super-2 number, since 2×5160727400² = 53266214594221520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120890 + ... + 157910.

Almost surely, 2^5160727400 is an apocalyptic number.

5160727400 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 5160727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507356940).

5160727400 is an abundant number, since it is smaller than the sum of its proper divisors (7853986480).

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

5160727400 is a wasteful number, since it uses less digits than its factorization.

5160727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37095 (or 37086 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 5160727400 is about 71838.2029285254. The cubic root of 5160727400 is about 1728.1057150188.

The spelling of 5160727400 in words is "five billion, one hundred sixty million, seven hundred twenty-seven thousand, four hundred".