20225669760 has 512 divisors, whose sum is σ = 78328166400. Its totient is φ = 4910284800.

The previous prime is 20225669741. The next prime is 20225669771. The reversal of 20225669760 is 6796652202.

20225669760 is a `hidden beast` number, since 2 + 0 + 22 + 566 + 9 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9105450 + ... + 9107670.

It is an arithmetic number, because the mean of its divisors is an integer number (152984700).

Almost surely, 2^20225669760 is an apocalyptic number.

20225669760 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 20225669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39164083200).

20225669760 is an abundant number, since it is smaller than the sum of its proper divisors (58102496640).

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

20225669760 is a wasteful number, since it uses less digits than its factorization.

20225669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20225669760 in words is "twenty billion, two hundred twenty-five million, six hundred sixty-nine thousand, seven hundred sixty".