109752750720 has 384 divisors, whose sum is σ = 412142599440. Its totient is φ = 26800422912.

The previous prime is 109752750713. The next prime is 109752750749. The reversal of 109752750720 is 27057257901.

109752750720 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 527 + 50 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82543588416 + 27209162304 = 287304^2 + 164952^2 .

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3607894 + ... + 3638186.

Almost surely, 2^109752750720 is an apocalyptic number.

109752750720 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 109752750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206071299720).

109752750720 is an abundant number, since it is smaller than the sum of its proper divisors (302389848720).

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

109752750720 is a wasteful number, since it uses less digits than its factorization.

109752750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30372 (or 30357 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 109752750720 in words is "one hundred nine billion, seven hundred fifty-two million, seven hundred fifty thousand, seven hundred twenty".