109419298560 has 864 divisors, whose sum is σ = 449123770368. Its totient is φ = 24246190080.

The previous prime is 109419298537. The next prime is 109419298567. The reversal of 109419298560 is 65892914901.

109419298560 is a `hidden beast` number, since 10 + 9 + 41 + 9 + 29 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 109419298497 and 109419298506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109419298567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209214459 + ... + 209214981.

Almost surely, 2^109419298560 is an apocalyptic number.

109419298560 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 109419298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224561885184).

109419298560 is an abundant number, since it is smaller than the sum of its proper divisors (339704471808).

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

109419298560 is a wasteful number, since it uses less digits than its factorization.

109419298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 109419298560 in words is "one hundred nine billion, four hundred nineteen million, two hundred ninety-eight thousand, five hundred sixty".