21642429657120 has 192 divisors, whose sum is σ = 68240586201984. Its totient is φ = 5765651619840.

The previous prime is 21642429657073. The next prime is 21642429657241. The reversal of 21642429657120 is 2175692424612.

It is a super-2 number, since 2×21642429657120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2632574610 + ... + 2632582830.

It is an arithmetic number, because the mean of its divisors is an integer number (355419719802).

Almost surely, 2^{21642429657120} is an apocalyptic number.

21642429657120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21642429657120 is an abundant number, since it is smaller than the sum of its proper divisors (46598156544864).

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

21642429657120 is a wasteful number, since it uses less digits than its factorization.

21642429657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 21642429657120 in words is "twenty-one trillion, six hundred forty-two billion, four hundred twenty-nine million, six hundred fifty-seven thousand, one hundred twenty".