19077956880 has 160 divisors (see below), whose sum is σ = 59584757760. Its totient is φ = 5049515520.

The previous prime is 19077956873. The next prime is 19077956897. The reversal of 19077956880 is 8865977091.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 30234165 + ... + 30234795.

It is an arithmetic number, because the mean of its divisors is an integer number (372404736).

Almost surely, 2^19077956880 is an apocalyptic number.

19077956880 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 19077956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792378880).

19077956880 is an abundant number, since it is smaller than the sum of its proper divisors (40506800880).

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

19077956880 is a wasteful number, since it uses less digits than its factorization.

19077956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 19077956880 in words is "nineteen billion, seventy-seven million, nine hundred fifty-six thousand, eight hundred eighty".