20970367776 has 192 divisors, whose sum is σ = 62218679040. Its totient is φ = 6870251520.

The previous prime is 20970367763. The next prime is 20970367777. The reversal of 20970367776 is 67776307902.

It is a happy number.

20970367776 is a `hidden beast` number, since 209 + 7 + 0 + 367 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20970367777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31724886 + ... + 31725546.

It is an arithmetic number, because the mean of its divisors is an integer number (324055620).

Almost surely, 2^20970367776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20970367776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31109339520).

20970367776 is an abundant number, since it is smaller than the sum of its proper divisors (41248311264).

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

20970367776 is a wasteful number, since it uses less digits than its factorization.

20970367776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 20970367776 in words is "twenty billion, nine hundred seventy million, three hundred sixty-seven thousand, seven hundred seventy-six".