20201752772496 has 105 divisors (see below), whose sum is σ = 58685908530081. Its totient is φ = 6733755783936.

The previous prime is 20201752772479. The next prime is 20201752772507. The reversal of 20201752772496 is 69427725710202.

The square root of 20201752772496 is 4494636.

It is a perfect power (a square), and thus also a powerful number.

20201752772496 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 7 + 527 + 7 + 24 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20199811136400 + 1941636096 = 4494420^2 + 44064^2 .

It is a super-2 number, since 2×20201752772496² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 485399880 + ... + 485441496.

Almost surely, 2^{20201752772496} is an apocalyptic number.

20201752772496 is the 4494636-th square number.

It is an amenable number.

20201752772496 is an abundant number, since it is smaller than the sum of its proper divisors (38484155757585).

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

20201752772496 is an frugal number, since it uses more digits than its factorization.

20201752772496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83260 (or 41622 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 20201752772496 in words is "twenty trillion, two hundred one billion, seven hundred fifty-two million, seven hundred seventy-two thousand, four hundred ninety-six".