20777602181340 has 192 divisors, whose sum is σ = 61835713873920. Its totient is φ = 5194783272960.

The previous prime is 20777602181339. The next prime is 20777602181341. The reversal of 20777602181340 is 4318120677702.

It is an interprime number because it is at equal distance from previous prime (20777602181339) and next prime (20777602181341).

It is a self number, because there is not a number n which added to its sum of digits gives 20777602181340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20777602181341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1186672506 + ... + 1186690014.

It is an arithmetic number, because the mean of its divisors is an integer number (322061009760).

Almost surely, 2^{20777602181340} is an apocalyptic number.

20777602181340 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 20777602181340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30917856936960).

20777602181340 is an abundant number, since it is smaller than the sum of its proper divisors (41058111692580).

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

20777602181340 is a wasteful number, since it uses less digits than its factorization.

20777602181340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21932 (or 21930 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 20777602181340 in words is "twenty trillion, seven hundred seventy-seven billion, six hundred two million, one hundred eighty-one thousand, three hundred forty".