863972877225600 has 1152 divisors, whose sum is σ = 3245614847354880. Its totient is φ = 226898877542400.

The previous prime is 863972877225553. The next prime is 863972877225637. The reversal of 863972877225600 is 6522778279368.

863972877225600 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 7 + 2 + 8 + 7 + 7 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53387675109 + ... + 53387691291.

It is an arithmetic number, because the mean of its divisors is an integer number (2817373999440).

Almost surely, 2^{863972877225600} is an apocalyptic number.

863972877225600 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 863972877225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622807423677440).

863972877225600 is an abundant number, since it is smaller than the sum of its proper divisors (2381641970129280).

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

863972877225600 is a wasteful number, since it uses less digits than its factorization.

863972877225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17260 (or 17231 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 863972877225600 in words is "eight hundred sixty-three trillion, nine hundred seventy-two billion, eight hundred seventy-seven million, two hundred twenty-five thousand, six hundred".