8876225324400 has 360 divisors, whose sum is σ = 33093476346240. Its totient is φ = 2027761989120.

The previous prime is 8876225324383. The next prime is 8876225324431. The reversal of 8876225324400 is 44235226788.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112092021 + ... + 112171179.

It is an arithmetic number, because the mean of its divisors is an integer number (91926323184).

Almost surely, 2^{8876225324400} is an apocalyptic number.

8876225324400 is a gapful number since it is divisible by the number (80) 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 8876225324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546738173120).

8876225324400 is an abundant number, since it is smaller than the sum of its proper divisors (24217251021840).

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

8876225324400 is a wasteful number, since it uses less digits than its factorization.

8876225324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81101 (or 81083 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 8876225324400 in words is "eight trillion, eight hundred seventy-six billion, two hundred twenty-five million, three hundred twenty-four thousand, four hundred".