20812070245824 has 1344 divisors, whose sum is σ = 75075992535040. Its totient is φ = 5610066739200.

The previous prime is 20812070245817. The next prime is 20812070245829. The reversal of 20812070245824 is 42854207021802.

20812070245824 is a `hidden beast` number, since 2 + 0 + 8 + 120 + 70 + 2 + 458 + 2 + 4 = 666.

It is a super-2 number, since 2×20812070245824² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20812070245824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20812070245829) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30924323952 + ... + 30924324624.

Almost surely, 2^{20812070245824} is an apocalyptic number.

20812070245824 is a gapful number since it is divisible by the number (24) 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 20812070245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537996267520).

20812070245824 is an abundant number, since it is smaller than the sum of its proper divisors (54263922289216).

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

20812070245824 is a wasteful number, since it uses less digits than its factorization.

20812070245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 20812070245824 in words is "twenty trillion, eight hundred twelve billion, seventy million, two hundred forty-five thousand, eight hundred twenty-four".