10980101664 has 192 divisors, whose sum is σ = 36678297600. Its totient is φ = 3130493184.

The previous prime is 10980101617. The next prime is 10980101669. The reversal of 10980101664 is 46610108901.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10980101669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3306597 + ... + 3309915.

It is an arithmetic number, because the mean of its divisors is an integer number (191032800).

Almost surely, 2^10980101664 is an apocalyptic number.

10980101664 is a gapful number since it is divisible by the number (14) 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 10980101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339148800).

10980101664 is an abundant number, since it is smaller than the sum of its proper divisors (25698195936).

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

10980101664 is a wasteful number, since it uses less digits than its factorization.

10980101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10980101664 in words is "ten billion, nine hundred eighty million, one hundred one thousand, six hundred sixty-four".