20892100680 has 192 divisors, whose sum is σ = 75087717120. Its totient is φ = 4995302400.

The previous prime is 20892100667. The next prime is 20892100739. The reversal of 20892100680 is 8600129802.

It is a Cunningham number, because it is equal to 144541²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 252945 + ... + 325215.

It is an arithmetic number, because the mean of its divisors is an integer number (391081860).

Almost surely, 2^20892100680 is an apocalyptic number.

20892100680 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 20892100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37543858560).

20892100680 is an abundant number, since it is smaller than the sum of its proper divisors (54195616440).

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

20892100680 is a wasteful number, since it uses less digits than its factorization.

20892100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72372 (or 72365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20892100680 in words is "twenty billion, eight hundred ninety-two million, one hundred thousand, six hundred eighty".