19230190560 has 960 divisors, whose sum is σ = 84594077568. Its totient is φ = 4013162496.

The previous prime is 19230190559. The next prime is 19230190571. The reversal of 19230190560 is 6509103291.

19230190560 is a `hidden beast` number, since 1 + 9 + 2 + 3 + 0 + 1 + 90 + 560 = 666.

It is a super-3 number, since 3×19230190560³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57062712 + ... + 57063048.

Almost surely, 2^19230190560 is an apocalyptic number.

19230190560 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 19230190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42297038784).

19230190560 is an abundant number, since it is smaller than the sum of its proper divisors (65363887008).

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

19230190560 is a wasteful number, since it uses less digits than its factorization.

19230190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 19230190560 in words is "nineteen billion, two hundred thirty million, one hundred ninety thousand, five hundred sixty".