8867881958400 has 792 divisors, whose sum is σ = 33695210109600. Its totient is φ = 2220616581120.

The previous prime is 8867881958387. The next prime is 8867881958489. The reversal of 8867881958400 is 48591887688.

8867881958400 is a `hidden beast` number, since 8 + 86 + 7 + 88 + 19 + 58 + 400 = 666.

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

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, 1907479276 + ... + 1907483924.

Almost surely, 2^{8867881958400} is an apocalyptic number.

8867881958400 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 8867881958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847605054800).

8867881958400 is an abundant number, since it is smaller than the sum of its proper divisors (24827328151200).

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

8867881958400 is a wasteful number, since it uses less digits than its factorization.

8867881958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 8867881958400 in words is "eight trillion, eight hundred sixty-seven billion, eight hundred eighty-one million, nine hundred fifty-eight thousand, four hundred".