107064383040000 has 1600 divisors, whose sum is σ = 405898770816000. Its totient is φ = 27846236160000.

The previous prime is 107064383039983. The next prime is 107064383040007. The reversal of 107064383040000 is 40383460701.

107064383040000 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 643 + 8 + 3 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×107064383040000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107064383040007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70856639245 + ... + 70856640755.

It is an arithmetic number, because the mean of its divisors is an integer number (253686731760).

Almost surely, 2^{107064383040000} is an apocalyptic number.

107064383040000 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 107064383040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202949385408000).

107064383040000 is an abundant number, since it is smaller than the sum of its proper divisors (298834387776000).

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

107064383040000 is an equidigital number, since it uses as much as digits as its factorization.

107064383040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 107064383040000 in words is "one hundred seven trillion, sixty-four billion, three hundred eighty-three million, forty thousand".