20072265257088 has 768 divisors, whose sum is σ = 67415857152000. Its totient is φ = 5868864460800.

The previous prime is 20072265257063. The next prime is 20072265257113. The reversal of 20072265257088 is 88075256227002.

20072265257088 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 2 + 2 + 65 + 2 + 570 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20072265257063) and next prime (20072265257113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4757586243 + ... + 4757590461.

It is an arithmetic number, because the mean of its divisors is an integer number (87781064000).

Almost surely, 2^{20072265257088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20072265257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707928576000).

20072265257088 is an abundant number, since it is smaller than the sum of its proper divisors (47343591894912).

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

20072265257088 is a wasteful number, since it uses less digits than its factorization.

20072265257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 20072265257088 in words is "twenty trillion, seventy-two billion, two hundred sixty-five million, two hundred fifty-seven thousand, eighty-eight".