20553578280 has 160 divisors (see below), whose sum is σ = 69183037440. Its totient is φ = 5473008000.

The previous prime is 20553578257. The next prime is 20553578281. The reversal of 20553578280 is 8287535502.

20553578280 is a `hidden beast` number, since 2 + 0 + 5 + 53 + 578 + 28 + 0 = 666.

It is a super-2 number, since 2×20553578280² (a number of 21 digits) contains 22 as substring.

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 (20553578281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2429017 + ... + 2437463.

It is an arithmetic number, because the mean of its divisors is an integer number (432393984).

Almost surely, 2^20553578280 is an apocalyptic number.

20553578280 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 20553578280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34591518720).

20553578280 is an abundant number, since it is smaller than the sum of its proper divisors (48629459160).

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

20553578280 is a wasteful number, since it uses less digits than its factorization.

20553578280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 20553578280 in words is "twenty billion, five hundred fifty-three million, five hundred seventy-eight thousand, two hundred eighty".