109957292640 has 960 divisors, whose sum is σ = 443826915840. Its totient is φ = 25440583680.

The previous prime is 109957292633. The next prime is 109957292713. The reversal of 109957292640 is 46292759901.

109957292640 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 572 + 9 + 2 + 64 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193246276 + ... + 193246844.

It is an arithmetic number, because the mean of its divisors is an integer number (462319704).

Almost surely, 2^109957292640 is an apocalyptic number.

109957292640 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 109957292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221913457920).

109957292640 is an abundant number, since it is smaller than the sum of its proper divisors (333869623200).

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

109957292640 is a wasteful number, since it uses less digits than its factorization.

109957292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 109957292640 in words is "one hundred nine billion, nine hundred fifty-seven million, two hundred ninety-two thousand, six hundred forty".