5880537600 has 480 divisors, whose sum is σ = 22504559616. Its totient is φ = 1325875200.

The previous prime is 5880537599. The next prime is 5880537659. The reversal of 5880537600 is 67350885.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35212717 + ... + 35212883.

Almost surely, 2^5880537600 is an apocalyptic number.

5880537600 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 5880537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252279808).

5880537600 is an abundant number, since it is smaller than the sum of its proper divisors (16624022016).

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

5880537600 is a wasteful number, since it uses less digits than its factorization.

5880537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5880537600 is about 76684.6633949710. The cubic root of 5880537600 is about 1804.9797907002.

The spelling of 5880537600 in words is "five billion, eight hundred eighty million, five hundred thirty-seven thousand, six hundred".