20597990400 has 891 divisors, whose sum is σ = 83483204259. Its totient is φ = 4849827840.

The previous prime is 20597990389. The next prime is 20597990407. The reversal of 20597990400 is 409979502.

The square root of 20597990400 is 143520.

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 5309162496 + 15288827904 = 72864^2 + 123648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20597990407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 895564789 + ... + 895564811.

Almost surely, 2^20597990400 is an apocalyptic number.

20597990400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20597990400 is the 143520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20597990400

20597990400 is an abundant number, since it is smaller than the sum of its proper divisors (62885213859).

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

20597990400 is a wasteful number, since it uses less digits than its factorization.

20597990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20597990400 in words is "twenty billion, five hundred ninety-seven million, nine hundred ninety thousand, four hundred".