19827674023040 has 256 divisors, whose sum is σ = 53978630307840. Its totient is φ = 6912022118400.

The previous prime is 19827674023013. The next prime is 19827674023051. The reversal of 19827674023040 is 4032047672891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9637217 + ... + 11512223.

It is an arithmetic number, because the mean of its divisors is an integer number (210854024640).

Almost surely, 2^{19827674023040} is an apocalyptic number.

19827674023040 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 19827674023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989315153920).

19827674023040 is an abundant number, since it is smaller than the sum of its proper divisors (34150956284800).

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

19827674023040 is a wasteful number, since it uses less digits than its factorization.

19827674023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875111 (or 1875099 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 19827674023040 in words is "nineteen trillion, eight hundred twenty-seven billion, six hundred seventy-four million, twenty-three thousand, forty".