107856790272000 has 6912 divisors, whose sum is σ = 534410850355200. Its totient is φ = 21196505088000.

The previous prime is 107856790271981. The next prime is 107856790272013. The reversal of 107856790272000 is 272097658701.

It is a happy number.

107856790272000 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 567 + 9 + 0 + 2 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1211874047956 + ... + 1211874048044.

It is an arithmetic number, because the mean of its divisors is an integer number (77316384600).

Almost surely, 2^{107856790272000} is an apocalyptic number.

107856790272000 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 107856790272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267205425177600).

107856790272000 is an abundant number, since it is smaller than the sum of its proper divisors (426554060083200).

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

107856790272000 is an equidigital number, since it uses as much as digits as its factorization.

107856790272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 107856790272000 in words is "one hundred seven trillion, eight hundred fifty-six billion, seven hundred ninety million, two hundred seventy-two thousand".