20139159783600 has 1920 divisors, whose sum is σ = 87228417024000. Its totient is φ = 4346265600000.

The previous prime is 20139159783593. The next prime is 20139159783623. The reversal of 20139159783600 is 638795193102.

20139159783600 is a `hidden beast` number, since 2 + 0 + 13 + 9 + 1 + 597 + 8 + 36 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19198435876 + ... + 19198436924.

It is an arithmetic number, because the mean of its divisors is an integer number (45431467200).

Almost surely, 2^{20139159783600} is an apocalyptic number.

20139159783600 is a gapful number since it is divisible by the number (20) 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 20139159783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614208512000).

20139159783600 is an abundant number, since it is smaller than the sum of its proper divisors (67089257240400).

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

20139159783600 is a wasteful number, since it uses less digits than its factorization.

20139159783600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 20139159783600 in words is "twenty trillion, one hundred thirty-nine billion, one hundred fifty-nine million, seven hundred eighty-three thousand, six hundred".