20866372800 has 1344 divisors, whose sum is σ = 92111437824. Its totient is φ = 4014489600.

The previous prime is 20866372799. The next prime is 20866372811. The reversal of 20866372800 is 827366802.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311438367 + ... + 311438433.

It is an arithmetic number, because the mean of its divisors is an integer number (68535296).

Almost surely, 2^20866372800 is an apocalyptic number.

20866372800 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 20866372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46055718912).

20866372800 is an abundant number, since it is smaller than the sum of its proper divisors (71245065024).

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

20866372800 is a wasteful number, since it uses less digits than its factorization.

20866372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 20866372800 in words is "twenty billion, eight hundred sixty-six million, three hundred seventy-two thousand, eight hundred".