9125578800 has 240 divisors, whose sum is σ = 34979323680. Its totient is φ = 2246261760.

The previous prime is 9125578783. The next prime is 9125578807. The reversal of 9125578800 is 88755219.

It is a happy number.

9125578800 is a `hidden beast` number, since 9 + 12 + 557 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (9125578807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107902 + ... + 172898.

It is an arithmetic number, because the mean of its divisors is an integer number (145747182).

Almost surely, 2^9125578800 is an apocalyptic number.

9125578800 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 9125578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17489661840).

9125578800 is an abundant number, since it is smaller than the sum of its proper divisors (25853744880).

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

9125578800 is a wasteful number, since it uses less digits than its factorization.

9125578800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65037 (or 65020 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 9125578800 is about 95527.8954023378. The cubic root of 9125578800 is about 2089.7137799328.

The spelling of 9125578800 in words is "nine billion, one hundred twenty-five million, five hundred seventy-eight thousand, eight hundred".