19864275840 has 256 divisors, whose sum is σ = 72256392000. Its totient is φ = 5153808384.

The previous prime is 19864275839. The next prime is 19864275859. The reversal of 19864275840 is 4857246891.

It is a happy number.

19864275840 is a `hidden beast` number, since 19 + 8 + 6 + 42 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623826 + ... + 654894.

Almost surely, 2^19864275840 is an apocalyptic number.

19864275840 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 19864275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36128196000).

19864275840 is an abundant number, since it is smaller than the sum of its proper divisors (52392116160).

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

19864275840 is a wasteful number, since it uses less digits than its factorization.

19864275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31134 (or 31116 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 19864275840 in words is "nineteen billion, eight hundred sixty-four million, two hundred seventy-five thousand, eight hundred forty".