11011616631960 has 768 divisors, whose sum is σ = 41182769295360. Its totient is φ = 2342860692480.

The previous prime is 11011616631959. The next prime is 11011616632031. The reversal of 11011616631960 is 6913661611011.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1645732215 + ... + 1645738905.

It is an arithmetic number, because the mean of its divisors is an integer number (53623397520).

Almost surely, 2^{11011616631960} is an apocalyptic number.

11011616631960 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 11011616631960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591384647680).

11011616631960 is an abundant number, since it is smaller than the sum of its proper divisors (30171152663400).

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

11011616631960 is a wasteful number, since it uses less digits than its factorization.

11011616631960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 11011616631960 in words is "eleven trillion, eleven billion, six hundred sixteen million, six hundred thirty-one thousand, nine hundred sixty".