20117621756064 has 96 divisors (see below), whose sum is σ = 60354981912960. Its totient is φ = 5747690345472.

The previous prime is 20117621756039. The next prime is 20117621756117. The reversal of 20117621756064 is 46065712671102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 19201482 + ... + 20222070.

It is an arithmetic number, because the mean of its divisors is an integer number (628697728260).

Almost surely, 2^{20117621756064} is an apocalyptic number.

20117621756064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20117621756064 is an abundant number, since it is smaller than the sum of its proper divisors (40237360156896).

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

20117621756064 is a wasteful number, since it uses less digits than its factorization.

20117621756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049942 (or 1049934 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 20117621756064 in words is "twenty trillion, one hundred seventeen billion, six hundred twenty-one million, seven hundred fifty-six thousand, sixty-four".