10869084400896 has 432 divisors, whose sum is σ = 33377758814400. Its totient is φ = 3395637116928.

The previous prime is 10869084400873. The next prime is 10869084400907. The reversal of 10869084400896 is 69800448096801.

10869084400896 is a `hidden beast` number, since 1 + 0 + 8 + 69 + 0 + 84 + 400 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468301740 + ... + 468324948.

Almost surely, 2^{10869084400896} is an apocalyptic number.

10869084400896 is a gapful number since it is divisible by the number (16) 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 10869084400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688879407200).

10869084400896 is an abundant number, since it is smaller than the sum of its proper divisors (22508674413504).

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

10869084400896 is a wasteful number, since it uses less digits than its factorization.

10869084400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23466 (or 23449 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 10869084400896 in words is "ten trillion, eight hundred sixty-nine billion, eighty-four million, four hundred thousand, eight hundred ninety-six".