109794562560 has 1280 divisors, whose sum is σ = 441016773120. Its totient is φ = 25763512320.

The previous prime is 109794562541. The next prime is 109794562583. The reversal of 109794562560 is 65265497901.

109794562560 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 4 + 5 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 109794562497 and 109794562506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2071595494 + ... + 2071595546.

It is an arithmetic number, because the mean of its divisors is an integer number (344544354).

Almost surely, 2^109794562560 is an apocalyptic number.

109794562560 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 109794562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220508386560).

109794562560 is an abundant number, since it is smaller than the sum of its proper divisors (331222210560).

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

109794562560 is a wasteful number, since it uses less digits than its factorization.

109794562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 109794562560 in words is "one hundred nine billion, seven hundred ninety-four million, five hundred sixty-two thousand, five hundred sixty".