107349677395200 has 2160 divisors, whose sum is σ = 456681035543040. Its totient is φ = 24700059648000.

The previous prime is 107349677395157. The next prime is 107349677395237. The reversal of 107349677395200 is 2593776943701.

It is a happy number.

107349677395200 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 9 + 6 + 77 + 39 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×107349677395200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5190728860 + ... + 5190749540.

It is an arithmetic number, because the mean of its divisors is an integer number (211426405344).

Almost surely, 2^{107349677395200} is an apocalyptic number.

107349677395200 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 107349677395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228340517771520).

107349677395200 is an abundant number, since it is smaller than the sum of its proper divisors (349331358147840).

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

107349677395200 is a wasteful number, since it uses less digits than its factorization.

107349677395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20786 (or 20758 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 107349677395200 in words is "one hundred seven trillion, three hundred forty-nine billion, six hundred seventy-seven million, three hundred ninety-five thousand, two hundred".