109540473120 has 504 divisors, whose sum is σ = 420224717556. Its totient is φ = 26958956544.

The previous prime is 109540473103. The next prime is 109540473143. The reversal of 109540473120 is 21374045901.

109540473120 is a `hidden beast` number, since 10 + 9 + 54 + 0 + 473 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34466665104 + 75073808016 = 185652^2 + 273996^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19709382 + ... + 19714938.

Almost surely, 2^109540473120 is an apocalyptic number.

109540473120 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 109540473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210112358778).

109540473120 is an abundant number, since it is smaller than the sum of its proper divisors (310684244436).

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

109540473120 is an equidigital number, since it uses as much as digits as its factorization.

109540473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 109540 and 473120, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 109540473120 in words is "one hundred nine billion, five hundred forty million, four hundred seventy-three thousand, one hundred twenty".