27412560000 has 1280 divisors, whose sum is σ = 121086240000. Its totient is φ = 6096384000.

The previous prime is 27412559987. The next prime is 27412560017. The reversal of 27412560000 is 6521472.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 740879982 + ... + 740880018.

It is an arithmetic number, because the mean of its divisors is an integer number (94598625).

Almost surely, 2^27412560000 is an apocalyptic number.

27412560000 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 27412560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60543120000).

27412560000 is an abundant number, since it is smaller than the sum of its proper divisors (93673680000).

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

27412560000 is an frugal number, since it uses more digits than its factorization.

27412560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 27412560000 in words is "twenty-seven billion, four hundred twelve million, five hundred sixty thousand".