107795659440 has 320 divisors, whose sum is σ = 405185495040. Its totient is φ = 23157550080.

The previous prime is 107795659429. The next prime is 107795659453. The reversal of 107795659440 is 44956597701.

It is a happy number.

It is a super-2 number, since 2×107795659440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4040545 + ... + 4067135.

It is an arithmetic number, because the mean of its divisors is an integer number (1266204672).

Almost surely, 2^107795659440 is an apocalyptic number.

107795659440 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 107795659440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202592747520).

107795659440 is an abundant number, since it is smaller than the sum of its proper divisors (297389835600).

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

107795659440 is a wasteful number, since it uses less digits than its factorization.

107795659440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26760 (or 26754 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 107795659440 in words is "one hundred seven billion, seven hundred ninety-five million, six hundred fifty-nine thousand, four hundred forty".