10892671225920 has 672 divisors, whose sum is σ = 41248317726720. Its totient is φ = 2616453550080.

The previous prime is 10892671225873. The next prime is 10892671225939. The reversal of 10892671225920 is 2952217629801.

10892671225920 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 26 + 7 + 1 + 22 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1791849441 + ... + 1791855519.

Almost surely, 2^{10892671225920} is an apocalyptic number.

10892671225920 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 10892671225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624158863360).

10892671225920 is an abundant number, since it is smaller than the sum of its proper divisors (30355646500800).

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

10892671225920 is a wasteful number, since it uses less digits than its factorization.

10892671225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10892671225920 in words is "ten trillion, eight hundred ninety-two billion, six hundred seventy-one million, two hundred twenty-five thousand, nine hundred twenty".