109712587944960 has 6336 divisors, whose sum is σ = 546609893566464. Its totient is φ = 19976631091200.

The previous prime is 109712587944959. The next prime is 109712587944961. The reversal of 109712587944960 is 69449785217901.

109712587944960 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 1 + 2 + 58 + 79 + 449 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (109712587944959) and next prime (109712587944961).

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109712587944961) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 970907857864 + ... + 970907857976.

Almost surely, 2^{109712587944960} is an apocalyptic number.

109712587944960 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 109712587944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273304946783232).

109712587944960 is an abundant number, since it is smaller than the sum of its proper divisors (436897305621504).

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

109712587944960 is a wasteful number, since it uses less digits than its factorization.

109712587944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 109712587944960 in words is "one hundred nine trillion, seven hundred twelve billion, five hundred eighty-seven million, nine hundred forty-four thousand, nine hundred sixty".