109076340172800 has 4320 divisors, whose sum is σ = 502836375787200. Its totient is φ = 20411449344000.

The previous prime is 109076340172769. The next prime is 109076340172829. The reversal of 109076340172800 is 8271043670901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109076340172800.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2660398540780 + ... + 2660398540820.

It is an arithmetic number, because the mean of its divisors is an integer number (116397309210).

Almost surely, 2^{109076340172800} is an apocalyptic number.

109076340172800 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 109076340172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251418187893600).

109076340172800 is an abundant number, since it is smaller than the sum of its proper divisors (393760035614400).

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

109076340172800 is an equidigital number, since it uses as much as digits as its factorization.

109076340172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 109076340172800 in words is "one hundred nine trillion, seventy-six billion, three hundred forty million, one hundred seventy-two thousand, eight hundred".