20402265600 has 720 divisors, whose sum is σ = 78364091520. Its totient is φ = 5057740800.

The previous prime is 20402265581. The next prime is 20402265601. The reversal of 20402265600 is 656220402.

20402265600 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 2 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20402265600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402265601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103564702 + ... + 103564898.

It is an arithmetic number, because the mean of its divisors is an integer number (108839016).

Almost surely, 2^20402265600 is an apocalyptic number.

20402265600 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 20402265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39182045760).

20402265600 is an abundant number, since it is smaller than the sum of its proper divisors (57961825920).

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

20402265600 is a wasteful number, since it uses less digits than its factorization.

20402265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20402265600 in words is "twenty billion, four hundred two million, two hundred sixty-five thousand, six hundred".