21776582983680 has 720 divisors, whose sum is σ = 86503873397760. Its totient is φ = 4964251336704.

The previous prime is 21776582983679. The next prime is 21776582983697. The reversal of 21776582983680 is 8638928567712.

21776582983680 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 6 + 582 + 9 + 8 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×21776582983680² (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 a junction number, because it is equal to n+sod(n) for n = 21776582983599 and 21776582983608.

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 47 ways as a sum of consecutive naturals, for example, 2007608017 + ... + 2007618863.

It is an arithmetic number, because the mean of its divisors is an integer number (120144268608).

Almost surely, 2^{21776582983680} is an apocalyptic number.

21776582983680 is a gapful number since it is divisible by the number (20) 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 21776582983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43251936698880).

21776582983680 is an abundant number, since it is smaller than the sum of its proper divisors (64727290414080).

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

21776582983680 is a wasteful number, since it uses less digits than its factorization.

21776582983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 21776582983680 in words is "twenty-one trillion, seven hundred seventy-six billion, five hundred eighty-two million, nine hundred eighty-three thousand, six hundred eighty".