20766772224000 has 2016 divisors, whose sum is σ = 85111376774112. Its totient is φ = 5016453120000.

The previous prime is 20766772223987. The next prime is 20766772224061. The reversal of 20766772224000 is 42227766702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73903103860 + ... + 73903104140.

Almost surely, 2^{20766772224000} is an apocalyptic number.

20766772224000 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 20766772224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42555688387056).

20766772224000 is an abundant number, since it is smaller than the sum of its proper divisors (64344604550112).

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

20766772224000 is an frugal number, since it uses more digits than its factorization.

20766772224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 20766772224000 in words is "twenty trillion, seven hundred sixty-six billion, seven hundred seventy-two million, two hundred twenty-four thousand".