19960908000 has 768 divisors, whose sum is σ = 75577162752. Its totient is φ = 4561920000.

The previous prime is 19960907999. The next prime is 19960908001. The reversal of 19960908000 is 80906991.

It is an interprime number because it is at equal distance from previous prime (19960907999) and next prime (19960908001).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19960908001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297923967 + ... + 297924033.

It is an arithmetic number, because the mean of its divisors is an integer number (98407764).

Almost surely, 2^19960908000 is an apocalyptic number.

19960908000 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 19960908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37788581376).

19960908000 is an abundant number, since it is smaller than the sum of its proper divisors (55616254752).

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

19960908000 is a wasteful number, since it uses less digits than its factorization.

19960908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 19960908000 in words is "nineteen billion, nine hundred sixty million, nine hundred eight thousand".