109869208560400 has 480 divisors, whose sum is σ = 294919928916480. Its totient is φ = 39154133237760.

The previous prime is 109869208560361. The next prime is 109869208560401. The reversal of 109869208560400 is 4065802968901.

It is not an unprimeable number, because it can be changed into a prime (109869208560401) 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, 1439868649 + ... + 1439944951.

It is an arithmetic number, because the mean of its divisors is an integer number (614416518576).

Almost surely, 2^{109869208560400} is an apocalyptic number.

109869208560400 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 109869208560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459964458240).

109869208560400 is an abundant number, since it is smaller than the sum of its proper divisors (185050720356080).

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

109869208560400 is a wasteful number, since it uses less digits than its factorization.

109869208560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76531 (or 76520 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 109869208560400 in words is "one hundred nine trillion, eight hundred sixty-nine billion, two hundred eight million, five hundred sixty thousand, four hundred".