19999580400 has 720 divisors, whose sum is σ = 75927057024. Its totient is φ = 5050045440.

The previous prime is 19999580371. The next prime is 19999580429. The reversal of 19999580400 is 408599991.

19999580400 is a `hidden beast` number, since 19 + 9 + 9 + 9 + 580 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19999580371) and next prime (19999580429).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 240958759 + ... + 240958841.

Almost surely, 2^19999580400 is an apocalyptic number.

19999580400 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 19999580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37963528512).

19999580400 is an abundant number, since it is smaller than the sum of its proper divisors (55927476624).

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

19999580400 is a wasteful number, since it uses less digits than its factorization.

19999580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 19999580400 in words is "nineteen billion, nine hundred ninety-nine million, five hundred eighty thousand, four hundred".