19874102976 has 784 divisors, whose sum is σ = 75619790848. Its totient is φ = 5038848000.

The previous prime is 19874102939. The next prime is 19874102993. The reversal of 19874102976 is 67920147891.

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 111 ways as a sum of consecutive naturals, for example, 131616501 + ... + 131616651.

Almost surely, 2^19874102976 is an apocalyptic number.

19874102976 is a gapful number since it is divisible by the number (16) 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 19874102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37809895424).

19874102976 is an abundant number, since it is smaller than the sum of its proper divisors (55745687872).

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

19874102976 is a wasteful number, since it uses less digits than its factorization.

19874102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 19874102976 in words is "nineteen billion, eight hundred seventy-four million, one hundred two thousand, nine hundred seventy-six".