108890385569280 has 2880 divisors, whose sum is σ = 466225990483968. Its totient is φ = 23451732541440.

The previous prime is 108890385569279. The next prime is 108890385569359. The reversal of 108890385569280 is 82965583098801.

108890385569280 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 0 + 38 + 5 + 569 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 108890385569199 and 108890385569208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 564198888864 + ... + 564198889056.

Almost surely, 2^{108890385569280} is an apocalyptic number.

108890385569280 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 108890385569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233112995241984).

108890385569280 is an abundant number, since it is smaller than the sum of its proper divisors (357335604914688).

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

108890385569280 is an frugal number, since it uses more digits than its factorization.

108890385569280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 108890385569280 in words is "one hundred eight trillion, eight hundred ninety billion, three hundred eighty-five million, five hundred sixty-nine thousand, two hundred eighty".