19450368000 has 1040 divisors, whose sum is σ = 84109643904. Its totient is φ = 4379443200.

The previous prime is 19450367957. The next prime is 19450368011. The reversal of 19450368000 is 86305491.

19450368000 is a `hidden beast` number, since 1 + 94 + 503 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303967 + ... + 290304033.

Almost surely, 2^19450368000 is an apocalyptic number.

19450368000 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 19450368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054821952).

19450368000 is an abundant number, since it is smaller than the sum of its proper divisors (64659275904).

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

19450368000 is an frugal number, since it uses more digits than its factorization.

19450368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19450368000 in words is "nineteen billion, four hundred fifty million, three hundred sixty-eight thousand".