27821952480 has 192 divisors, whose sum is σ = 106050954240. Its totient is φ = 5985214464.

The previous prime is 27821952443. The next prime is 27821952533. The reversal of 27821952480 is 8425912872.

It is a super-2 number, since 2×27821952480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 186420 + ... + 300659.

It is an arithmetic number, because the mean of its divisors is an integer number (552348720).

Almost surely, 2^27821952480 is an apocalyptic number.

27821952480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27821952480 is an abundant number, since it is smaller than the sum of its proper divisors (78229001760).

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

27821952480 is a wasteful number, since it uses less digits than its factorization.

27821952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487121 (or 487113 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 27821952480 in words is "twenty-seven billion, eight hundred twenty-one million, nine hundred fifty-two thousand, four hundred eighty".