20539205280400 has 45 divisors (see below), whose sum is σ = 49345658450683. Its totient is φ = 8215645856000.

The previous prime is 20539205280371. The next prime is 20539205280439. The reversal of 20539205280400 is 408250293502.

The square root of 20539205280400 is 4532020.

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 6982552572304 + 13556652708096 = 2642452^2 + 3681936^2 .

It is a super-2 number, since 2×20539205280400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90527100 + ... + 90753700.

Almost surely, 2^{20539205280400} is an apocalyptic number.

20539205280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20539205280400 is the 4532020-th square number.

It is an amenable number.

20539205280400 is an abundant number, since it is smaller than the sum of its proper divisors (28806453170283).

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

20539205280400 is an frugal number, since it uses more digits than its factorization.

20539205280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453220 (or 226608 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 20539205280400 in words is "twenty trillion, five hundred thirty-nine billion, two hundred five million, two hundred eighty thousand, four hundred".