19776240000 has 720 divisors, whose sum is σ = 78509290860. Its totient is φ = 4773120000.

The previous prime is 19776239999. The next prime is 19776240017. The reversal of 19776240000 is 4267791.

It is a happy number.

19776240000 is a `hidden beast` number, since 197 + 7 + 62 + 400 + 0 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 87119887 + ... + 87120113.

Almost surely, 2^19776240000 is an apocalyptic number.

19776240000 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 19776240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39254645430).

19776240000 is an abundant number, since it is smaller than the sum of its proper divisors (58733050860).

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

19776240000 is a wasteful number, since it uses less digits than its factorization.

19776240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 19776240000 in words is "nineteen billion, seven hundred seventy-six million, two hundred forty thousand".