20827787904 has 480 divisors, whose sum is σ = 78678768960. Its totient is φ = 5408363520.

The previous prime is 20827787867. The next prime is 20827787909. The reversal of 20827787904 is 40978772802.

20827787904 is a `hidden beast` number, since 208 + 277 + 87 + 90 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20827787909) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5586489 + ... + 5590215.

It is an arithmetic number, because the mean of its divisors is an integer number (163914102).

Almost surely, 2^20827787904 is an apocalyptic number.

20827787904 is a gapful number since it is divisible by the number (24) 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 20827787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39339384480).

20827787904 is an abundant number, since it is smaller than the sum of its proper divisors (57850981056).

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

20827787904 is a wasteful number, since it uses less digits than its factorization.

20827787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 20827787904 in words is "twenty billion, eight hundred twenty-seven million, seven hundred eighty-seven thousand, nine hundred four".