27286046401536 has 352 divisors, whose sum is σ = 91604311164800. Its totient is φ = 7953825300480.

The previous prime is 27286046401519. The next prime is 27286046401543. The reversal of 27286046401536 is 63510464068272.

27286046401536 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 60 + 4 + 6 + 40 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4831266 + ... + 8826846.

Almost surely, 2^{27286046401536} is an apocalyptic number.

27286046401536 is a gapful number since it is divisible by the number (26) 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 27286046401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45802155582400).

27286046401536 is an abundant number, since it is smaller than the sum of its proper divisors (64318264763264).

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

27286046401536 is a wasteful number, since it uses less digits than its factorization.

27286046401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995642 (or 3995618 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 27286046401536 in words is "twenty-seven trillion, two hundred eighty-six billion, forty-six million, four hundred one thousand, five hundred thirty-six".