20868249600 has 864 divisors, whose sum is σ = 85550774400. Its totient is φ = 4811980800.

The previous prime is 20868249553. The next prime is 20868249601. The reversal of 20868249600 is 694286802.

20868249600 is a `hidden beast` number, since 2 + 0 + 86 + 82 + 496 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868249601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116582311 + ... + 116582489.

It is an arithmetic number, because the mean of its divisors is an integer number (99017100).

Almost surely, 2^20868249600 is an apocalyptic number.

20868249600 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 20868249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42775387200).

20868249600 is an abundant number, since it is smaller than the sum of its proper divisors (64682524800).

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

20868249600 is a wasteful number, since it uses less digits than its factorization.

20868249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20868249600 in words is "twenty billion, eight hundred sixty-eight million, two hundred forty-nine thousand, six hundred".