20928632468688 has 120 divisors (see below), whose sum is σ = 66943377903168. Its totient is φ = 5979164944896.

The previous prime is 20928632468687. The next prime is 20928632468743. The reversal of 20928632468688 is 88686423682902.

20928632468688 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 86 + 3 + 2 + 468 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20928632468687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12920995 + ... + 14450237.

Almost surely, 2^{20928632468688} is an apocalyptic number.

20928632468688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20928632468688 is an abundant number, since it is smaller than the sum of its proper divisors (46014745434480).

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

20928632468688 is a wasteful number, since it uses less digits than its factorization.

20928632468688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542841 (or 1542832 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 20928632468688 in words is "twenty trillion, nine hundred twenty-eight billion, six hundred thirty-two million, four hundred sixty-eight thousand, six hundred eighty-eight".