10991848846080 has 576 divisors, whose sum is σ = 38486786688000. Its totient is φ = 2663736606720.

The previous prime is 10991848846057. The next prime is 10991848846123. The reversal of 10991848846080 is 8064884819901.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191637246 + ... + 191694594.

It is an arithmetic number, because the mean of its divisors is an integer number (66817338000).

Almost surely, 2^{10991848846080} is an apocalyptic number.

10991848846080 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 10991848846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243393344000).

10991848846080 is an abundant number, since it is smaller than the sum of its proper divisors (27494937841920).

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

10991848846080 is a wasteful number, since it uses less digits than its factorization.

10991848846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57500 (or 57486 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 10991848846080 in words is "ten trillion, nine hundred ninety-one billion, eight hundred forty-eight million, eight hundred forty-six thousand, eighty".