20613584937792 has 896 divisors, whose sum is σ = 71672573952000. Its totient is φ = 5072574873600.

The previous prime is 20613584937787. The next prime is 20613584937857. The reversal of 20613584937792 is 29773948531602.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19650700084 + ... + 19650701132.

It is an arithmetic number, because the mean of its divisors is an integer number (79991712000).

It is a 1-persistent number, because it is pandigital, but 2⋅20613584937792 = 41227169875584 is not.

Almost surely, 2^{20613584937792} is an apocalyptic number.

20613584937792 is a gapful number since it is divisible by the number (22) 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 20613584937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35836286976000).

20613584937792 is an abundant number, since it is smaller than the sum of its proper divisors (51058989014208).

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

20613584937792 is a wasteful number, since it uses less digits than its factorization.

20613584937792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 20613584937792 in words is "twenty trillion, six hundred thirteen billion, five hundred eighty-four million, nine hundred thirty-seven thousand, seven hundred ninety-two".