107491442688000 has 5184 divisors, whose sum is σ = 509085061430400. Its totient is φ = 22473709977600.

The previous prime is 107491442687999. The next prime is 107491442688013. The reversal of 107491442688000 is 886244194701.

107491442688000 is a `hidden beast` number, since 10 + 7 + 491 + 4 + 4 + 2 + 68 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×107491442688000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3706601471986 + ... + 3706601472014.

It is an arithmetic number, because the mean of its divisors is an integer number (98203136850).

Almost surely, 2^{107491442688000} is an apocalyptic number.

107491442688000 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 107491442688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254542530715200).

107491442688000 is an abundant number, since it is smaller than the sum of its proper divisors (401593618742400).

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

107491442688000 is an frugal number, since it uses more digits than its factorization.

107491442688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 107491442688000 in words is "one hundred seven trillion, four hundred ninety-one billion, four hundred forty-two million, six hundred eighty-eight thousand".