11012107680 has 768 divisors, whose sum is σ = 48213688320. Its totient is φ = 2289254400.

The previous prime is 11012107627. The next prime is 11012107703. The reversal of 11012107680 is 8670121011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936135 + ... + 15936825.

It is an arithmetic number, because the mean of its divisors is an integer number (62778240).

Almost surely, 2^11012107680 is an apocalyptic number.

11012107680 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 11012107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106844160).

11012107680 is an abundant number, since it is smaller than the sum of its proper divisors (37201580640).

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

11012107680 is a wasteful number, since it uses less digits than its factorization.

11012107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11012107680 its reverse (8670121011), we get a palindrome (19682228691).

The spelling of 11012107680 in words is "eleven billion, twelve million, one hundred seven thousand, six hundred eighty".