107269231608000 has 5376 divisors, whose sum is σ = 533903792947200. Its totient is φ = 20788669440000.

The previous prime is 107269231607971. The next prime is 107269231608001. The reversal of 107269231608000 is 806132962701.

107269231608000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 6 + 9 + 2 + 31 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107269231608001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 157055975659 + ... + 157055976341.

Almost surely, 2^{107269231608000} is an apocalyptic number.

107269231608000 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 107269231608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266951896473600).

107269231608000 is an abundant number, since it is smaller than the sum of its proper divisors (426634561339200).

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

107269231608000 is a wasteful number, since it uses less digits than its factorization.

107269231608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107269231608000 in words is "one hundred seven trillion, two hundred sixty-nine billion, two hundred thirty-one million, six hundred eight thousand".