20888248800 has 144 divisors (see below), whose sum is σ = 68527613952. Its totient is φ = 5526259200.

The previous prime is 20888248763. The next prime is 20888248807. The reversal of 20888248800 is 884288802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20888248800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20888248807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270535 + ... + 339065.

It is an arithmetic number, because the mean of its divisors is an integer number (475886208).

Almost surely, 2^20888248800 is an apocalyptic number.

20888248800 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 20888248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34263806976).

20888248800 is an abundant number, since it is smaller than the sum of its proper divisors (47639365152).

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

20888248800 is a wasteful number, since it uses less digits than its factorization.

20888248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68681 (or 68668 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 20888248800 in words is "twenty billion, eight hundred eighty-eight million, two hundred forty-eight thousand, eight hundred".