19312128000 has 832 divisors, whose sum is σ = 78507786240. Its totient is φ = 4644864000.

The previous prime is 19312127971. The next prime is 19312128007. The reversal of 19312128000 is 82121391.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19312128007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063937 + ... + 152064063.

It is an arithmetic number, because the mean of its divisors is an integer number (94360320).

Almost surely, 2^19312128000 is an apocalyptic number.

19312128000 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 19312128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39253893120).

19312128000 is an abundant number, since it is smaller than the sum of its proper divisors (59195658240).

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

19312128000 is a wasteful number, since it uses less digits than its factorization.

19312128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 19312128000 its reverse (82121391), we get a palindrome (19394249391).

The spelling of 19312128000 in words is "nineteen billion, three hundred twelve million, one hundred twenty-eight thousand".