8995104518400 has 10368 divisors, whose sum is σ = 52425244569600. Its totient is φ = 1471492915200.

The previous prime is 8995104518363. The next prime is 8995104518437. The reversal of 8995104518400 is 48154015998.

8995104518400 is a `hidden beast` number, since 8 + 9 + 9 + 510 + 45 + 1 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8995104518363) and next prime (8995104518437).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 391091500789 + ... + 391091500811.

It is an arithmetic number, because the mean of its divisors is an integer number (5056447200).

8995104518400 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^{8995104518400} is an apocalyptic number.

8995104518400 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 8995104518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26212622284800).

8995104518400 is an abundant number, since it is smaller than the sum of its proper divisors (43430140051200).

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

8995104518400 is a wasteful number, since it uses less digits than its factorization.

8995104518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 8995104518400 in words is "eight trillion, nine hundred ninety-five billion, one hundred four million, five hundred eighteen thousand, four hundred".