20681519339520 has 1152 divisors, whose sum is σ = 80331434164800. Its totient is φ = 5044495712256.

The previous prime is 20681519339491. The next prime is 20681519339521. The reversal of 20681519339520 is 2593391518602.

20681519339520 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 519 + 33 + 95 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20681519339521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5279936602 + ... + 5279940518.

Almost surely, 2^{20681519339520} is an apocalyptic number.

20681519339520 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 20681519339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40165717082400).

20681519339520 is an abundant number, since it is smaller than the sum of its proper divisors (59649914825280).

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

20681519339520 is a wasteful number, since it uses less digits than its factorization.

20681519339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 20681519339520 in words is "twenty trillion, six hundred eighty-one billion, five hundred nineteen million, three hundred thirty-nine thousand, five hundred twenty".