10992884474880 has 4224 divisors, whose sum is σ = 52518319349760. Its totient is φ = 2153730539520.

The previous prime is 10992884474867. The next prime is 10992884474917. The reversal of 10992884474880 is 8847448829901.

10992884474880 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 28 + 84 + 47 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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 = 10992884474799 and 10992884474808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150587458524 + ... + 150587458596.

It is an arithmetic number, because the mean of its divisors is an integer number (12433314240).

Almost surely, 2^{10992884474880} is an apocalyptic number.

10992884474880 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 10992884474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259159674880).

10992884474880 is an abundant number, since it is smaller than the sum of its proper divisors (41525434874880).

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

10992884474880 is a wasteful number, since it uses less digits than its factorization.

10992884474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 10992884474880 in words is "ten trillion, nine hundred ninety-two billion, eight hundred eighty-four million, four hundred seventy-four thousand, eight hundred eighty".