5093546880 has 128 divisors (see below), whose sum is σ = 16941726720. Its totient is φ = 1299212288.

The previous prime is 5093546849. The next prime is 5093546881. The reversal of 5093546880 is 886453905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093546881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13512 + ... + 101831.

It is an arithmetic number, because the mean of its divisors is an integer number (132357240).

Almost surely, 2^5093546880 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 5093546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470863360).

5093546880 is an abundant number, since it is smaller than the sum of its proper divisors (11848179840).

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

5093546880 is a wasteful number, since it uses less digits than its factorization.

5093546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115388 (or 115376 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5093546880 is about 71369.0891072599. The cubic root of 5093546880 is about 1720.5743169547.

The spelling of 5093546880 in words is "five billion, ninety-three million, five hundred forty-six thousand, eight hundred eighty".