19538904240 has 400 divisors, whose sum is σ = 70031830176. Its totient is φ = 5045760000.

The previous prime is 19538904233. The next prime is 19538904269. The reversal of 19538904240 is 4240983591.

19538904240 is a `hidden beast` number, since 1 + 9 + 538 + 90 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 66685534 + ... + 66685826.

Almost surely, 2^19538904240 is an apocalyptic number.

19538904240 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 19538904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35015915088).

19538904240 is an abundant number, since it is smaller than the sum of its proper divisors (50492925936).

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

19538904240 is a wasteful number, since it uses less digits than its factorization.

19538904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19538904240 in words is "nineteen billion, five hundred thirty-eight million, nine hundred four thousand, two hundred forty".