11001081692160 has 2448 divisors, whose sum is σ = 49035686933376. Its totient is φ = 2311581597696.

The previous prime is 11001081692149. The next prime is 11001081692189. The reversal of 11001081692160 is 6129618010011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255839109099 + ... + 255839109141.

Almost surely, 2^{11001081692160} is an apocalyptic number.

11001081692160 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 11001081692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517843466688).

11001081692160 is an abundant number, since it is smaller than the sum of its proper divisors (38034605241216).

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

11001081692160 is an frugal number, since it uses more digits than its factorization.

11001081692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11001081692160 in words is "eleven trillion, one billion, eighty-one million, six hundred ninety-two thousand, one hundred sixty".