20381302656 has 576 divisors, whose sum is σ = 71749117440. Its totient is φ = 5499187200.

The previous prime is 20381302637. The next prime is 20381302657. The reversal of 20381302656 is 65620318302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20381302656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20381302657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66388455 + ... + 66388761.

It is an arithmetic number, because the mean of its divisors is an integer number (124564440).

Almost surely, 2^20381302656 is an apocalyptic number.

20381302656 is a gapful number since it is divisible by the number (26) 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 20381302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35874558720).

20381302656 is an abundant number, since it is smaller than the sum of its proper divisors (51367814784).

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

20381302656 is a wasteful number, since it uses less digits than its factorization.

20381302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20381302656 in words is "twenty billion, three hundred eighty-one million, three hundred two thousand, six hundred fifty-six".