107869612032000 has 5760 divisors, whose sum is σ = 528032833735680. Its totient is φ = 21199690137600.

The previous prime is 107869612031957. The next prime is 107869612032037. The reversal of 107869612032000 is 230216968701.

107869612032000 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 9 + 612 + 0 + 3 + 20 + 0 + 0 = 666.

107869612032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1112057855952 + ... + 1112057856048.

It is an arithmetic number, because the mean of its divisors is an integer number (91672366968).

Almost surely, 2^{107869612032000} is an apocalyptic number.

107869612032000 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 107869612032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264016416867840).

107869612032000 is an abundant number, since it is smaller than the sum of its proper divisors (420163221703680).

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

107869612032000 is an equidigital number, since it uses as much as digits as its factorization.

107869612032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107869612032000 in words is "one hundred seven trillion, eight hundred sixty-nine billion, six hundred twelve million, thirty-two thousand".