20778590448 has 600 divisors, whose sum is σ = 78927281664. Its totient is φ = 5156110080.

The previous prime is 20778590447. The next prime is 20778590453. The reversal of 20778590448 is 84409587702.

It is a happy number.

20778590448 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 8 + 590 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20778590394 and 20778590403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778590447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25246965 + ... + 25247787.

Almost surely, 2^20778590448 is an apocalyptic number.

20778590448 is a gapful number since it is divisible by the number (28) 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 20778590448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39463640832).

20778590448 is an abundant number, since it is smaller than the sum of its proper divisors (58148691216).

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

20778590448 is a wasteful number, since it uses less digits than its factorization.

20778590448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20778590448 in words is "twenty billion, seven hundred seventy-eight million, five hundred ninety thousand, four hundred forty-eight".