11377579080 has 256 divisors, whose sum is σ = 40389672960. Its totient is φ = 2509056000.

The previous prime is 11377579051. The next prime is 11377579121. The reversal of 11377579080 is 8097577311.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15649677 + ... + 15650403.

It is an arithmetic number, because the mean of its divisors is an integer number (157772160).

Almost surely, 2^11377579080 is an apocalyptic number.

11377579080 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 11377579080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20194836480).

11377579080 is an abundant number, since it is smaller than the sum of its proper divisors (29012093880).

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

11377579080 is a wasteful number, since it uses less digits than its factorization.

11377579080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 48.

The spelling of 11377579080 in words is "eleven billion, three hundred seventy-seven million, five hundred seventy-nine thousand, eighty".