8948987049600 has 3072 divisors, whose sum is σ = 39029501952000. Its totient is φ = 2007477043200.

The previous prime is 8948987049547. The next prime is 8948987049617. The reversal of 8948987049600 is 69407898498.

8948987049600 is a `hidden beast` number, since 8 + 9 + 4 + 8 + 9 + 8 + 7 + 0 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53586748717 + ... + 53586748883.

It is an arithmetic number, because the mean of its divisors is an integer number (12704916000).

Almost surely, 2^{8948987049600} is an apocalyptic number.

8948987049600 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 8948987049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514750976000).

8948987049600 is an abundant number, since it is smaller than the sum of its proper divisors (30080514902400).

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

8948987049600 is a wasteful number, since it uses less digits than its factorization.

8948987049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 8948987049600 in words is "eight trillion, nine hundred forty-eight billion, nine hundred eighty-seven million, forty-nine thousand, six hundred".