109079067778560 has 3200 divisors, whose sum is σ = 470888309219328. Its totient is φ = 23824171008000.

The previous prime is 109079067778553. The next prime is 109079067778589. The reversal of 109079067778560 is 65877760970901.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 123812789320 + ... + 123812790200.

Almost surely, 2^{109079067778560} is an apocalyptic number.

109079067778560 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 109079067778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235444154609664).

109079067778560 is an abundant number, since it is smaller than the sum of its proper divisors (361809241440768).

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

109079067778560 is a wasteful number, since it uses less digits than its factorization.

109079067778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 109079067778560 in words is "one hundred nine trillion, seventy-nine billion, sixty-seven million, seven hundred seventy-eight thousand, five hundred sixty".