27900256456800 has 864 divisors, whose sum is σ = 124993239920640. Its totient is φ = 5696751513600.

The previous prime is 27900256456739. The next prime is 27900256456801. The reversal of 27900256456800 is 865465200972.

27900256456800 is a `hidden beast` number, since 2 + 7 + 90 + 0 + 25 + 6 + 456 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27900256456801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19624381 + ... + 20998019.

It is an arithmetic number, because the mean of its divisors is an integer number (144668101760).

Almost surely, 2^{27900256456800} is an apocalyptic number.

27900256456800 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 27900256456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496619960320).

27900256456800 is an abundant number, since it is smaller than the sum of its proper divisors (97092983463840).

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

27900256456800 is a wasteful number, since it uses less digits than its factorization.

27900256456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373716 (or 1373700 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27900256456800 in words is "twenty-seven trillion, nine hundred billion, two hundred fifty-six million, four hundred fifty-six thousand, eight hundred".