19930008000 has 448 divisors, whose sum is σ = 76047648768. Its totient is φ = 4504780800.

The previous prime is 19930007989. The next prime is 19930008013. The reversal of 19930008000 is 80003991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16295389 + ... + 16296611.

It is an arithmetic number, because the mean of its divisors is an integer number (169749216).

Almost surely, 2^19930008000 is an apocalyptic number.

19930008000 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 19930008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38023824384).

19930008000 is an abundant number, since it is smaller than the sum of its proper divisors (56117640768).

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

19930008000 is a wasteful number, since it uses less digits than its factorization.

19930008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

It can be divided in two parts, 1993000 and 8000, that added together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 19930008000 in words is "nineteen billion, nine hundred thirty million, eight thousand".