27531372960 has 768 divisors, whose sum is σ = 120708403200. Its totient is φ = 5705551872.

The previous prime is 27531372943. The next prime is 27531372977. The reversal of 27531372960 is 6927313572.

27531372960 is a `hidden beast` number, since 2 + 7 + 531 + 37 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (27531372943) and next prime (27531372977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23193487 + ... + 23194673.

It is an arithmetic number, because the mean of its divisors is an integer number (157172400).

Almost surely, 2^27531372960 is an apocalyptic number.

27531372960 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 27531372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60354201600).

27531372960 is an abundant number, since it is smaller than the sum of its proper divisors (93177030240).

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

27531372960 is a wasteful number, since it uses less digits than its factorization.

27531372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 27531372960 in words is "twenty-seven billion, five hundred thirty-one million, three hundred seventy-two thousand, nine hundred sixty".