19053800640 has 448 divisors, whose sum is σ = 77143173120. Its totient is φ = 4336865280.

The previous prime is 19053800639. The next prime is 19053800641. The reversal of 19053800640 is 4600835091.

19053800640 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 3 + 8 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (19053800639) and next prime (19053800641).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 19053800595 and 19053800604.

It is not an unprimeable number, because it can be changed into a prime (19053800641) 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, 18808774 + ... + 18809786.

Almost surely, 2^19053800640 is an apocalyptic number.

19053800640 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 19053800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38571586560).

19053800640 is an abundant number, since it is smaller than the sum of its proper divisors (58089372480).

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

19053800640 is a wasteful number, since it uses less digits than its factorization.

19053800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1341 counting only the distinct ones).

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

The spelling of 19053800640 in words is "nineteen billion, fifty-three million, eight hundred thousand, six hundred forty".