20774428286976 has 2352 divisors, whose sum is σ = 80478362409984. Its totient is φ = 5309413982208.

The previous prime is 20774428286957. The next prime is 20774428286993. The reversal of 20774428286976 is 67968282447702.

20774428286976 is a `hidden beast` number, since 2 + 0 + 7 + 74 + 428 + 2 + 8 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×20774428286976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 163578175425 + ... + 163578175551.

Almost surely, 2^{20774428286976} is an apocalyptic number.

20774428286976 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 20774428286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40239181204992).

20774428286976 is an abundant number, since it is smaller than the sum of its proper divisors (59703934123008).

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

20774428286976 is an equidigital number, since it uses as much as digits as its factorization.

20774428286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 20774428286976 in words is "twenty trillion, seven hundred seventy-four billion, four hundred twenty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".