20988300527401 has 27 divisors (see below), whose sum is σ = 22708396323909. Its totient is φ = 19395387446400.

The previous prime is 20988300527333. The next prime is 20988300527479. The reversal of 20988300527401 is 10472500388902.

The square root of 20988300527401 is 4581299.

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

It can be written as a sum of positive squares in 4 ways, for example, as 820656621801 + 20167643905600 = 905901^2 + 4490840^2 .

It is not a de Polignac number, because 20988300527401 - 2¹⁹ = 20988300003113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20988300507401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3568828981 + ... + 3568834861.

Almost surely, 2^{20988300527401} is an apocalyptic number.

20988300527401 is the 4581299-th square number.

20988300527401 is the 2290650-th centered octagonal number.

It is an amenable number.

20988300527401 is a deficient number, since it is larger than the sum of its proper divisors (1720095796508).

20988300527401 is an frugal number, since it uses more digits than its factorization.

20988300527401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11882 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 20988300527401 in words is "twenty trillion, nine hundred eighty-eight billion, three hundred million, five hundred twenty-seven thousand, four hundred one".