109707776640 has 1152 divisors, whose sum is σ = 482515488000. Its totient is φ = 22481141760.

The previous prime is 109707776587. The next prime is 109707776681. The reversal of 109707776640 is 46677707901.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 551295261 + ... + 551295459.

It is an arithmetic number, because the mean of its divisors is an integer number (418850250).

Almost surely, 2^109707776640 is an apocalyptic number.

109707776640 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 109707776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241257744000).

109707776640 is an abundant number, since it is smaller than the sum of its proper divisors (372807711360).

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

109707776640 is a wasteful number, since it uses less digits than its factorization.

109707776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 109707776640 in words is "one hundred nine billion, seven hundred seven million, seven hundred seventy-six thousand, six hundred forty".