20984087674368 has 3840 divisors, whose sum is σ = 88005367296000. Its totient is φ = 4892713943040.

The previous prime is 20984087674343. The next prime is 20984087674397. The reversal of 20984087674368 is 86347678048902.

20984087674368 is a `hidden beast` number, since 2 + 0 + 98 + 40 + 8 + 7 + 67 + 436 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20984087674296 and 20984087674305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 511807016428 + ... + 511807016468.

It is an arithmetic number, because the mean of its divisors is an integer number (22918064400).

Almost surely, 2^{20984087674368} is an apocalyptic number.

20984087674368 is a gapful number since it is divisible by the number (28) 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 20984087674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44002683648000).

20984087674368 is an abundant number, since it is smaller than the sum of its proper divisors (67021279621632).

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

20984087674368 is a wasteful number, since it uses less digits than its factorization.

20984087674368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 20984087674368 in words is "twenty trillion, nine hundred eighty-four billion, eighty-seven million, six hundred seventy-four thousand, three hundred sixty-eight".