27623199874560 has 320 divisors, whose sum is σ = 88510163683392. Its totient is φ = 7349339160576.

The previous prime is 27623199874553. The next prime is 27623199874609. The reversal of 27623199874560 is 6547899132672.

It is a tau number, because it is divible by the number of its divisors (320).

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, 7765868302 + ... + 7765871858.

It is a 1-persistent number, because it is pandigital, but 2⋅27623199874560 = 55246399749120 is not.

Almost surely, 2^{27623199874560} is an apocalyptic number.

27623199874560 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 27623199874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44255081841696).

27623199874560 is an abundant number, since it is smaller than the sum of its proper divisors (60886963808832).

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

27623199874560 is a wasteful number, since it uses less digits than its factorization.

27623199874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 27623199874560 in words is "twenty-seven trillion, six hundred twenty-three billion, one hundred ninety-nine million, eight hundred seventy-four thousand, five hundred sixty".