27756546048 has 960 divisors, whose sum is σ = 107883135360. Its totient is φ = 6900940800.

The previous prime is 27756546029. The next prime is 27756546067. The reversal of 27756546048 is 84064565772.

It is a happy number.

27756546048 is a `hidden beast` number, since 2 + 7 + 7 + 56 + 546 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (27756546029) and next prime (27756546067).

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

It is a junction number, because it is equal to n+sod(n) for n = 27756545985 and 27756546003.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523708390 + ... + 523708442.

It is an arithmetic number, because the mean of its divisors is an integer number (112378266).

Almost surely, 2^27756546048 is an apocalyptic number.

27756546048 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 27756546048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53941567680).

27756546048 is an abundant number, since it is smaller than the sum of its proper divisors (80126589312).

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

27756546048 is a wasteful number, since it uses less digits than its factorization.

27756546048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 27756546048 in words is "twenty-seven billion, seven hundred fifty-six million, five hundred forty-six thousand, forty-eight".