19760868000 has 768 divisors, whose sum is σ = 78120806400. Its totient is φ = 4832870400.

The previous prime is 19760867969. The next prime is 19760868011. The reversal of 19760868000 is 86806791.

It is a happy number.

It is a super-2 number, since 2×19760868000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86291886 + ... + 86292114.

It is an arithmetic number, because the mean of its divisors is an integer number (101719800).

Almost surely, 2^19760868000 is an apocalyptic number.

19760868000 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 19760868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060403200).

19760868000 is an abundant number, since it is smaller than the sum of its proper divisors (58359938400).

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

19760868000 is a wasteful number, since it uses less digits than its factorization.

19760868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19760868000 in words is "nineteen billion, seven hundred sixty million, eight hundred sixty-eight thousand".