11077921920 has 512 divisors, whose sum is σ = 39920025600. Its totient is φ = 2594488320.

The previous prime is 11077921901. The next prime is 11077921931. The reversal of 11077921920 is 2912977011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79697211 + ... + 79697349.

It is an arithmetic number, because the mean of its divisors is an integer number (77968800).

Almost surely, 2^11077921920 is an apocalyptic number.

11077921920 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 11077921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960012800).

11077921920 is an abundant number, since it is smaller than the sum of its proper divisors (28842103680).

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

11077921920 is a wasteful number, since it uses less digits than its factorization.

11077921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 39.

The spelling of 11077921920 in words is "eleven billion, seventy-seven million, nine hundred twenty-one thousand, nine hundred twenty".