109175040000 has 1080 divisors, whose sum is σ = 440628117930. Its totient is φ = 26873856000.

The previous prime is 109175039951. The next prime is 109175040019. The reversal of 109175040000 is 40571901.

It can be written as a sum of positive squares in 5 ways, for example, as 812934144 + 108362105856 = 28512^2 + 329184^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8398079994 + ... + 8398080006.

Almost surely, 2^109175040000 is an apocalyptic number.

109175040000 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 109175040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220314058965).

109175040000 is an abundant number, since it is smaller than the sum of its proper divisors (331453077930).

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

109175040000 is an frugal number, since it uses more digits than its factorization.

109175040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 109175040000 in words is "one hundred nine billion, one hundred seventy-five million, forty thousand".