20652278400 has 768 divisors, whose sum is σ = 82763452800. Its totient is φ = 5061242880.

The previous prime is 20652278377. The next prime is 20652278407. The reversal of 20652278400 is 487225602.

20652278400 is a `hidden beast` number, since 20 + 6 + 5 + 227 + 8 + 400 = 666.

It is a super-2 number, since 2×20652278400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20652278407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90979087 + ... + 90979313.

Almost surely, 2^20652278400 is an apocalyptic number.

20652278400 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 20652278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41381726400).

20652278400 is an abundant number, since it is smaller than the sum of its proper divisors (62111174400).

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

20652278400 is an equidigital number, since it uses as much as digits as its factorization.

20652278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20652278400 in words is "twenty billion, six hundred fifty-two million, two hundred seventy-eight thousand, four hundred".