20705582257920 has 3456 divisors, whose sum is σ = 91826954698752. Its totient is φ = 4367897395200.

The previous prime is 20705582257901. The next prime is 20705582257949. The reversal of 20705582257920 is 2975228550702.

20705582257920 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 5 + 582 + 2 + 57 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×20705582257920² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 193510114507 + ... + 193510114613.

It is an arithmetic number, because the mean of its divisors is an integer number (26570299392).

Almost surely, 2^{20705582257920} is an apocalyptic number.

20705582257920 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 20705582257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45913477349376).

20705582257920 is an abundant number, since it is smaller than the sum of its proper divisors (71121372440832).

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

20705582257920 is a wasteful number, since it uses less digits than its factorization.

20705582257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 20705582257920 in words is "twenty trillion, seven hundred five billion, five hundred eighty-two million, two hundred fifty-seven thousand, nine hundred twenty".