20152085283792 has 1440 divisors, whose sum is σ = 77761385095680. Its totient is φ = 4800588871680.

The previous prime is 20152085283791. The next prime is 20152085283809. The reversal of 20152085283792 is 29738258025102.

20152085283792 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 20 + 8 + 528 + 3 + 7 + 92 = 666.

It is a super-2 number, since 2×20152085283792² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152085283791) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 12386038083 + ... + 12386039709.

It is an arithmetic number, because the mean of its divisors is an integer number (54000961872).

Almost surely, 2^{20152085283792} is an apocalyptic number.

20152085283792 is a gapful number since it is divisible by the number (22) 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 20152085283792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880692547840).

20152085283792 is an abundant number, since it is smaller than the sum of its proper divisors (57609299811888).

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

20152085283792 is a wasteful number, since it uses less digits than its factorization.

20152085283792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20152085283792 in words is "twenty trillion, one hundred fifty-two billion, eighty-five million, two hundred eighty-three thousand, seven hundred ninety-two".