109279054886400 has 3780 divisors, whose sum is σ = 502228157018148. Its totient is φ = 23480344903680.

The previous prime is 109279054886399. The next prime is 109279054886401. The reversal of 109279054886400 is 4688450972901.

109279054886400 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 7 + 9 + 0 + 548 + 86 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109279054886399) and next prime (109279054886401).

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109279054886401) by changing a digit.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 132139122787 + ... + 132139123613.

Almost surely, 2^{109279054886400} is an apocalyptic number.

109279054886400 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 109279054886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251114078509074).

109279054886400 is an abundant number, since it is smaller than the sum of its proper divisors (392949102131748).

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

109279054886400 is an frugal number, since it uses more digits than its factorization.

109279054886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 109279054886400 in words is "one hundred nine trillion, two hundred seventy-nine billion, fifty-four million, eight hundred eighty-six thousand, four hundred".