5181977600 has 132 divisors (see below), whose sum is σ = 13030514208. Its totient is φ = 2042880000.

The previous prime is 5181977599. The next prime is 5181977623. The reversal of 5181977600 is 67791815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1816175 + ... + 1819025.

Almost surely, 2^5181977600 is an apocalyptic number.

5181977600 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 5181977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515257104).

5181977600 is an abundant number, since it is smaller than the sum of its proper divisors (7848536608).

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

5181977600 is a wasteful number, since it uses less digits than its factorization.

5181977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 44.

The square root of 5181977600 is about 71985.9541855215. The cubic root of 5181977600 is about 1730.4743929400.

The spelling of 5181977600 in words is "five billion, one hundred eighty-one million, nine hundred seventy-seven thousand, six hundred".