8231640055200 has 144 divisors (see below), whose sum is σ = 29771098277760. Its totient is φ = 2195104008960.

The previous prime is 8231640055193. The next prime is 8231640055207. The reversal of 8231640055200 is 25500461328.

8231640055200 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 640 + 0 + 5 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8231640055193) and next prime (8231640055207).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8231640055207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190525624 + ... + 190568823.

It is an arithmetic number, because the mean of its divisors is an integer number (206743738040).

Almost surely, 2^{8231640055200} is an apocalyptic number.

8231640055200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8231640055200 is an abundant number, since it is smaller than the sum of its proper divisors (21539458222560).

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

8231640055200 is a wasteful number, since it uses less digits than its factorization.

8231640055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381094476 (or 381094457 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 8231640055200 in words is "eight trillion, two hundred thirty-one billion, six hundred forty million, fifty-five thousand, two hundred".