5110377480 has 672 divisors, whose sum is σ = 20089908360. Its totient is φ = 1164533760.

The previous prime is 5110377469. The next prime is 5110377487. The reversal of 5110377480 is 847730115.

5110377480 is a `hidden beast` number, since 5 + 1 + 103 + 77 + 480 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 250335684 + 4860041796 = 15822^2 + 69714^2 .

It is a super-2 number, since 2×5110377480² = 52231915976182300800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110377487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83776650 + ... + 83776710.

Almost surely, 2^5110377480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110377480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044954180).

5110377480 is an abundant number, since it is smaller than the sum of its proper divisors (14979530880).

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

5110377480 is a wasteful number, since it uses less digits than its factorization.

5110377480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5110377480 is about 71486.9042552550. The cubic root of 5110377480 is about 1722.4673305777.

The spelling of 5110377480 in words is "five billion, one hundred ten million, three hundred seventy-seven thousand, four hundred eighty".