20888296000 has 672 divisors, whose sum is σ = 66102341760. Its totient is φ = 6428160000.

The previous prime is 20888295997. The next prime is 20888296003. The reversal of 20888296000 is 69288802.

It is an interprime number because it is at equal distance from previous prime (20888295997) and next prime (20888296003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20888296003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673815985 + ... + 673816015.

It is an arithmetic number, because the mean of its divisors is an integer number (98366580).

Almost surely, 2^20888296000 is an apocalyptic number.

20888296000 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 20888296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051170880).

20888296000 is an abundant number, since it is smaller than the sum of its proper divisors (45214045760).

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

20888296000 is a wasteful number, since it uses less digits than its factorization.

20888296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 20888296000 in words is "twenty billion, eight hundred eighty-eight million, two hundred ninety-six thousand".