20617192640000 has 400 divisors, whose sum is σ = 58597608263040. Its totient is φ = 7171169280000.

The previous prime is 20617192639973. The next prime is 20617192640039. The reversal of 20617192640000 is 4629171602.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80832671 + ... + 81087329.

Almost surely, 2^{20617192640000} is an apocalyptic number.

20617192640000 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 20617192640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29298804131520).

20617192640000 is an abundant number, since it is smaller than the sum of its proper divisors (37980415623040).

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

20617192640000 is an equidigital number, since it uses as much as digits as its factorization.

20617192640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254731 (or 254700 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 20617192640000 in words is "twenty trillion, six hundred seventeen billion, one hundred ninety-two million, six hundred forty thousand".