19740259980 has 768 divisors, whose sum is σ = 77466009600. Its totient is φ = 4075868160.

The previous prime is 19740259967. The next prime is 19740259999. The reversal of 19740259980 is 8995204791.

19740259980 is a `hidden beast` number, since 1 + 9 + 7 + 40 + 2 + 599 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125734062 + ... + 125734218.

It is an arithmetic number, because the mean of its divisors is an integer number (100867200).

Almost surely, 2^19740259980 is an apocalyptic number.

19740259980 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 19740259980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38733004800).

19740259980 is an abundant number, since it is smaller than the sum of its proper divisors (57725749620).

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

19740259980 is a wasteful number, since it uses less digits than its factorization.

19740259980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 19740259980 in words is "nineteen billion, seven hundred forty million, two hundred fifty-nine thousand, nine hundred eighty".