10879288223328 has 720 divisors, whose sum is σ = 39697585416720. Its totient is φ = 2904089739264.

The previous prime is 10879288223317. The next prime is 10879288223371. The reversal of 10879288223328 is 82332288297801.

10879288223328 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 9 + 2 + 88 + 223 + 328 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 295783243 + ... + 295820021.

It is an arithmetic number, because the mean of its divisors is an integer number (55135535301).

Almost surely, 2^{10879288223328} is an apocalyptic number.

10879288223328 is a gapful number since it is divisible by the number (18) 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 10879288223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848792708360).

10879288223328 is an abundant number, since it is smaller than the sum of its proper divisors (28818297193392).

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

10879288223328 is a wasteful number, since it uses less digits than its factorization.

10879288223328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36969 (or 36945 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10879288223328 in words is "ten trillion, eight hundred seventy-nine billion, two hundred eighty-eight million, two hundred twenty-three thousand, three hundred twenty-eight".