20278221765984 has 1152 divisors, whose sum is σ = 74860996654080. Its totient is φ = 5257171206144.

The previous prime is 20278221765961. The next prime is 20278221766003. The reversal of 20278221765984 is 48956712287202.

20278221765984 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 8 + 22 + 17 + 6 + 598 + 4 = 666.

It is a super-2 number, since 2×20278221765984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23606776947 + ... + 23606777805.

It is an arithmetic number, because the mean of its divisors is an integer number (64983504040).

Almost surely, 2^{20278221765984} is an apocalyptic number.

20278221765984 is a gapful number since it is divisible by the number (24) 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 20278221765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37430498327040).

20278221765984 is an abundant number, since it is smaller than the sum of its proper divisors (54582774888096).

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

20278221765984 is a wasteful number, since it uses less digits than its factorization.

20278221765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 20278221765984 in words is "twenty trillion, two hundred seventy-eight billion, two hundred twenty-one million, seven hundred sixty-five thousand, nine hundred eighty-four".