10892213750880 has 1152 divisors, whose sum is σ = 47197330532352. Its totient is φ = 2221793280000.

The previous prime is 10892213750843. The next prime is 10892213750903. The reversal of 10892213750880 is 8805731229801.

10892213750880 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 2 + 21 + 37 + 508 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1897264810 + ... + 1897270550.

It is an arithmetic number, because the mean of its divisors is an integer number (40969904976).

Almost surely, 2^{10892213750880} is an apocalyptic number.

10892213750880 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 10892213750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598665266176).

10892213750880 is an abundant number, since it is smaller than the sum of its proper divisors (36305116781472).

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

10892213750880 is a wasteful number, since it uses less digits than its factorization.

10892213750880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10892213750880 in words is "ten trillion, eight hundred ninety-two billion, two hundred thirteen million, seven hundred fifty thousand, eight hundred eighty".