107253256704000 has 416 divisors, whose sum is σ = 389340352252800. Its totient is φ = 26000785408000.

The previous prime is 107253256703939. The next prime is 107253256704007. The reversal of 107253256704000 is 407652352701.

107253256704000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107253256704000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107253256704007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13722076 + ... + 20069924.

It is an arithmetic number, because the mean of its divisors is an integer number (935914308300).

Almost surely, 2^{107253256704000} is an apocalyptic number.

107253256704000 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 107253256704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194670176126400).

107253256704000 is an abundant number, since it is smaller than the sum of its proper divisors (282087095548800).

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

107253256704000 is an equidigital number, since it uses as much as digits as its factorization.

107253256704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347902 (or 6347870 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 107253256704000 in words is "one hundred seven trillion, two hundred fifty-three billion, two hundred fifty-six million, seven hundred four thousand".