20948667000000 has 784 divisors, whose sum is σ = 70731744622080. Its totient is φ = 5470732800000.

The previous prime is 20948666999999. The next prime is 20948667000059. The reversal of 20948667000000 is 76684902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37208999719 + ... + 37209000281.

Almost surely, 2^{20948667000000} is an apocalyptic number.

20948667000000 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 20948667000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35365872311040).

20948667000000 is an abundant number, since it is smaller than the sum of its proper divisors (49783077622080).

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

20948667000000 is an frugal number, since it uses more digits than its factorization.

20948667000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20948667000000 in words is "twenty trillion, nine hundred forty-eight billion, six hundred sixty-seven million", and thus it is an aban number.