5181770880 has 768 divisors, whose sum is σ = 21893639040. Its totient is φ = 1154580480.

The previous prime is 5181770861. The next prime is 5181770897. The reversal of 5181770880 is 880771815.

It is a super-3 number, since 3×5181770880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 22239244 + ... + 22239476.

Almost surely, 2^5181770880 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 5181770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946819520).

5181770880 is an abundant number, since it is smaller than the sum of its proper divisors (16711868160).

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

5181770880 is a wasteful number, since it uses less digits than its factorization.

5181770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The square root of 5181770880 is about 71984.5183355421. The cubic root of 5181770880 is about 1730.4513818780.

The spelling of 5181770880 in words is "five billion, one hundred eighty-one million, seven hundred seventy thousand, eight hundred eighty".