109212826171680 has 3072 divisors, whose sum is σ = 519890570035200. Its totient is φ = 20727984291840.

The previous prime is 109212826171663. The next prime is 109212826171681. The reversal of 109212826171680 is 86171628212901.

109212826171680 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 1 + 2 + 8 + 2 + 617 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (109212826171681) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26424586894 + ... + 26424591026.

It is an arithmetic number, because the mean of its divisors is an integer number (169235211600).

Almost surely, 2^{109212826171680} is an apocalyptic number.

109212826171680 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 109212826171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259945285017600).

109212826171680 is an abundant number, since it is smaller than the sum of its proper divisors (410677743863520).

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

109212826171680 is a wasteful number, since it uses less digits than its factorization.

109212826171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 109212826171680 in words is "one hundred nine trillion, two hundred twelve billion, eight hundred twenty-six million, one hundred seventy-one thousand, six hundred eighty".