5110797600 has 576 divisors, whose sum is σ = 19686240000. Its totient is φ = 1277337600.

The previous prime is 5110797599. The next prime is 5110797619. The reversal of 5110797600 is 67970115.

5110797600 is a `hidden beast` number, since 511 + 0 + 79 + 76 + 0 + 0 = 666.

It is a super-2 number, since 2×5110797600² = 52240504216331520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25682301 + ... + 25682499.

It is an arithmetic number, because the mean of its divisors is an integer number (34177500).

Almost surely, 2^5110797600 is an apocalyptic number.

5110797600 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 5110797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120000).

5110797600 is an abundant number, since it is smaller than the sum of its proper divisors (14575442400).

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

5110797600 is a wasteful number, since it uses less digits than its factorization.

5110797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 5110797600 is about 71489.8426351604. The cubic root of 5110797600 is about 1722.5145301664.

The spelling of 5110797600 in words is "five billion, one hundred ten million, seven hundred ninety-seven thousand, six hundred".