20627117182464 has 320 divisors, whose sum is σ = 59674354096896. Its totient is φ = 6293903376384.

The previous prime is 20627117182459. The next prime is 20627117182487. The reversal of 20627117182464 is 46428171172602.

It is a super-2 number, since 2×20627117182464² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164904299 + ... + 1164922005.

Almost surely, 2^{20627117182464} is an apocalyptic number.

20627117182464 is a gapful number since it is divisible by the number (24) 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 20627117182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29837177048448).

20627117182464 is an abundant number, since it is smaller than the sum of its proper divisors (39047236914432).

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

20627117182464 is a wasteful number, since it uses less digits than its factorization.

20627117182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 20627117182464 in words is "twenty trillion, six hundred twenty-seven billion, one hundred seventeen million, one hundred eighty-two thousand, four hundred sixty-four".