27471312000 has 1280 divisors, whose sum is σ = 116445288960. Its totient is φ = 6359040000.

The previous prime is 27471311983. The next prime is 27471312017. The reversal of 27471312000 is 21317472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27471311983) and next prime (27471312017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

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, 584495977 + ... + 584496023.

It is an arithmetic number, because the mean of its divisors is an integer number (90972882).

Almost surely, 2^27471312000 is an apocalyptic number.

27471312000 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 27471312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58222644480).

27471312000 is an abundant number, since it is smaller than the sum of its proper divisors (88973976960).

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

27471312000 is a wasteful number, since it uses less digits than its factorization.

27471312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 27471312000 its reverse (21317472), we get a palindrome (27492629472).

The spelling of 27471312000 in words is "twenty-seven billion, four hundred seventy-one million, three hundred twelve thousand".