20264635600 has 240 divisors, whose sum is σ = 54401518080. Its totient is φ = 7192000000.

The previous prime is 20264635591. The next prime is 20264635603. The reversal of 20264635600 is 653646202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264635603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65159445 + ... + 65159755.

It is an arithmetic number, because the mean of its divisors is an integer number (226672992).

Almost surely, 2^20264635600 is an apocalyptic number.

20264635600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27200759040).

20264635600 is an abundant number, since it is smaller than the sum of its proper divisors (34136882480).

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

20264635600 is a wasteful number, since it uses less digits than its factorization.

20264635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 20264635600 in words is "twenty billion, two hundred sixty-four million, six hundred thirty-five thousand, six hundred".