19020967680 has 864 divisors, whose sum is σ = 74535293952. Its totient is φ = 4103700480.

The previous prime is 19020967661. The next prime is 19020967709. The reversal of 19020967680 is 8676902091.

It is a super-2 number, since 2×19020967680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283895007 + ... + 283895073.

Almost surely, 2^19020967680 is an apocalyptic number.

19020967680 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 19020967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37267646976).

19020967680 is an abundant number, since it is smaller than the sum of its proper divisors (55514326272).

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

19020967680 is a wasteful number, since it uses less digits than its factorization.

19020967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 19020967680 in words is "nineteen billion, twenty million, nine hundred sixty-seven thousand, six hundred eighty".