27560004000 has 192 divisors, whose sum is σ = 90592774272. Its totient is φ = 7324416000.

The previous prime is 27560003993. The next prime is 27560004011. The reversal of 27560004000 is 40006572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3680260 + ... + 3687740.

It is an arithmetic number, because the mean of its divisors is an integer number (471837366).

Almost surely, 2^27560004000 is an apocalyptic number.

27560004000 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 27560004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45296387136).

27560004000 is an abundant number, since it is smaller than the sum of its proper divisors (63032770272).

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

27560004000 is a wasteful number, since it uses less digits than its factorization.

27560004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 27560004000 in words is "twenty-seven billion, five hundred sixty million, four thousand".