19052006400 has 396 divisors, whose sum is σ = 77966823792. Its totient is φ = 4354375680.

The previous prime is 19052006399. The next prime is 19052006419. The reversal of 19052006400 is 460025091.

19052006400 is a `hidden beast` number, since 19 + 0 + 5 + 2 + 0 + 0 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1606894 + ... + 1618706.

Almost surely, 2^19052006400 is an apocalyptic number.

19052006400 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 19052006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38983411896).

19052006400 is an abundant number, since it is smaller than the sum of its proper divisors (58914817392).

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

19052006400 is a wasteful number, since it uses less digits than its factorization.

19052006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11856 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 19052006400 in words is "nineteen billion, fifty-two million, six thousand, four hundred".