109785056640 has 384 divisors, whose sum is σ = 420215454720. Its totient is φ = 24283607040.

The previous prime is 109785056569. The next prime is 109785056657. The reversal of 109785056640 is 46650587901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×109785056640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2897659 + ... + 2935301.

It is an arithmetic number, because the mean of its divisors is an integer number (1094311080).

Almost surely, 2^109785056640 is an apocalyptic number.

109785056640 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 109785056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210107727360).

109785056640 is an abundant number, since it is smaller than the sum of its proper divisors (310430398080).

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

109785056640 is a wasteful number, since it uses less digits than its factorization.

109785056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37710 (or 37691 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 109785056640 in words is "one hundred nine billion, seven hundred eighty-five million, fifty-six thousand, six hundred forty".