107850620731392 has 2016 divisors, whose sum is σ = 422109184573440. Its totient is φ = 26683071528960.

The previous prime is 107850620731363. The next prime is 107850620731397. The reversal of 107850620731392 is 293137026058701.

107850620731392 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 0 + 620 + 7 + 3 + 1 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×107850620731392² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107850620731397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451257827209 + ... + 451257827447.

It is an arithmetic number, because the mean of its divisors is an integer number (209379555840).

Almost surely, 2^{107850620731392} is an apocalyptic number.

107850620731392 is a gapful number since it is divisible by the number (12) 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 107850620731392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211054592286720).

107850620731392 is an abundant number, since it is smaller than the sum of its proper divisors (314258563842048).

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

107850620731392 is an frugal number, since it uses more digits than its factorization.

107850620731392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 107850620731392 in words is "one hundred seven trillion, eight hundred fifty billion, six hundred twenty million, seven hundred thirty-one thousand, three hundred ninety-two".