19875000983040 has 1280 divisors, whose sum is σ = 83095752960000. Its totient is φ = 4500594524160.

The previous prime is 19875000983003. The next prime is 19875000983069. The reversal of 19875000983040 is 4038900057891.

19875000983040 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 500 + 0 + 98 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2584185595 + ... + 2584193285.

It is an arithmetic number, because the mean of its divisors is an integer number (64918557000).

Almost surely, 2^{19875000983040} is an apocalyptic number.

19875000983040 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 19875000983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41547876480000).

19875000983040 is an abundant number, since it is smaller than the sum of its proper divisors (63220751976960).

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

19875000983040 is an equidigital number, since it uses as much as digits as its factorization.

19875000983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 19875000983040 in words is "nineteen trillion, eight hundred seventy-five billion, nine hundred eighty-three thousand, forty".