108763872000 has 1152 divisors, whose sum is σ = 446674894848. Its totient is φ = 22910976000.

The previous prime is 108763871987. The next prime is 108763872013. The reversal of 108763872000 is 278367801.

It is an interprime number because it is at equal distance from previous prime (108763871987) and next prime (108763872013).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 479135887 + ... + 479136113.

It is an arithmetic number, because the mean of its divisors is an integer number (387738624).

Almost surely, 2^108763872000 is an apocalyptic number.

108763872000 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 108763872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223337447424).

108763872000 is an abundant number, since it is smaller than the sum of its proper divisors (337911022848).

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

108763872000 is a wasteful number, since it uses less digits than its factorization.

108763872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 108763872000 in words is "one hundred eight billion, seven hundred sixty-three million, eight hundred seventy-two thousand".