21682952371080 has 1536 divisors, whose sum is σ = 98365438080000. Its totient is φ = 4158582405120.

The previous prime is 21682952370983. The next prime is 21682952371139. The reversal of 21682952371080 is 8017325928612.

21682952371080 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 2 + 9 + 523 + 7 + 108 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 2009722326 + ... + 2009733114.

It is an arithmetic number, because the mean of its divisors is an integer number (64039998750).

Almost surely, 2^{21682952371080} is an apocalyptic number.

21682952371080 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 21682952371080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49182719040000).

21682952371080 is an abundant number, since it is smaller than the sum of its proper divisors (76682485708920).

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

21682952371080 is a wasteful number, since it uses less digits than its factorization.

21682952371080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 21682952371080 in words is "twenty-one trillion, six hundred eighty-two billion, nine hundred fifty-two million, three hundred seventy-one thousand, eighty".