19924883387136 has 2880 divisors, whose sum is σ = 79138614804480. Its totient is φ = 4845893713920.

The previous prime is 19924883387069. The next prime is 19924883387153. The reversal of 19924883387136 is 63178338842991.

19924883387136 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 488 + 3 + 3 + 8 + 7 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 156888845505 + ... + 156888845631.

It is an arithmetic number, because the mean of its divisors is an integer number (27478685696).

Almost surely, 2^{19924883387136} is an apocalyptic number.

19924883387136 is a gapful number since it is divisible by the number (16) 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 19924883387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39569307402240).

19924883387136 is an abundant number, since it is smaller than the sum of its proper divisors (59213731417344).

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

19924883387136 is a wasteful number, since it uses less digits than its factorization.

19924883387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 19924883387136 in words is "nineteen trillion, nine hundred twenty-four billion, eight hundred eighty-three million, three hundred eighty-seven thousand, one hundred thirty-six".