27282653798400 has 6720 divisors, whose sum is σ = 142719561363456. Its totient is φ = 4968677376000.

The previous prime is 27282653798383. The next prime is 27282653798401. The reversal of 27282653798400 is 489735628272.

27282653798400 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 2 + 6 + 537 + 98 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27282653798401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 514767052774 + ... + 514767052826.

Almost surely, 2^{27282653798400} is an apocalyptic number.

27282653798400 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 27282653798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71359780681728).

27282653798400 is an abundant number, since it is smaller than the sum of its proper divisors (115436907565056).

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

27282653798400 is a wasteful number, since it uses less digits than its factorization.

27282653798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 27282653798400 in words is "twenty-seven trillion, two hundred eighty-two billion, six hundred fifty-three million, seven hundred ninety-eight thousand, four hundred".