27456681504 has 192 divisors, whose sum is σ = 88446339072. Its totient is φ = 7279104000.

The previous prime is 27456681491. The next prime is 27456681517. The reversal of 27456681504 is 40518665472.

It is an interprime number because it is at equal distance from previous prime (27456681491) and next prime (27456681517).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 794179 + ... + 828029.

It is an arithmetic number, because the mean of its divisors is an integer number (460658016).

Almost surely, 2^27456681504 is an apocalyptic number.

27456681504 is a gapful number since it is divisible by the number (24) 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 27456681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223169536).

27456681504 is an abundant number, since it is smaller than the sum of its proper divisors (60989657568).

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

27456681504 is a wasteful number, since it uses less digits than its factorization.

27456681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33959 (or 33951 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 27456681504 in words is "twenty-seven billion, four hundred fifty-six million, six hundred eighty-one thousand, five hundred four".