27276099360048 has 800 divisors, whose sum is σ = 104272699120128. Its totient is φ = 6664235212800.

The previous prime is 27276099360047. The next prime is 27276099360077. The reversal of 27276099360048 is 84006399067272.

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

It is not an unprimeable number, because it can be changed into a prime (27276099360047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4202138083 + ... + 4202144573.

Almost surely, 2^{27276099360048} is an apocalyptic number.

27276099360048 is a gapful number since it is divisible by the number (28) 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 27276099360048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52136349560064).

27276099360048 is an abundant number, since it is smaller than the sum of its proper divisors (76996599760080).

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

27276099360048 is a wasteful number, since it uses less digits than its factorization.

27276099360048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 27276099360048 in words is "twenty-seven trillion, two hundred seventy-six billion, ninety-nine million, three hundred sixty thousand, forty-eight".