10140231868200 has 288 divisors, whose sum is σ = 38921930860800. Its totient is φ = 2317603207680.

The previous prime is 10140231868183. The next prime is 10140231868211. The reversal of 10140231868200 is 286813204101.

10140231868200 is a `hidden beast` number, since 1 + 0 + 140 + 231 + 86 + 8 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326362266 + ... + 326393334.

Almost surely, 2^{10140231868200} is an apocalyptic number.

10140231868200 is a gapful number since it is divisible by the number (10) 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 10140231868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19460965430400).

10140231868200 is an abundant number, since it is smaller than the sum of its proper divisors (28781698992600).

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

10140231868200 is a wasteful number, since it uses less digits than its factorization.

10140231868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57001 (or 56989 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10140231868200 in words is "ten trillion, one hundred forty billion, two hundred thirty-one million, eight hundred sixty-eight thousand, two hundred".