9880574400 has 588 divisors, whose sum is σ = 37488964392. Its totient is φ = 2560481280.

The previous prime is 9880574399. The next prime is 9880574401. The reversal of 9880574400 is 44750889.

It is an interprime number because it is at equal distance from previous prime (9880574399) and next prime (9880574401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9880574401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50155102 + ... + 50155298.

Almost surely, 2^9880574400 is an apocalyptic number.

9880574400 is a gapful number since it is divisible by the number (90) 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 9880574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18744482196).

9880574400 is an abundant number, since it is smaller than the sum of its proper divisors (27608389992).

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

9880574400 is a wasteful number, since it uses less digits than its factorization.

9880574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9880574400 is about 99401.0784649744. The cubic root of 9880574400 is about 2145.8238314302.

The spelling of 9880574400 in words is "nine billion, eight hundred eighty million, five hundred seventy-four thousand, four hundred".