27290964960 has 384 divisors, whose sum is σ = 115587440640. Its totient is φ = 5870886912.

The previous prime is 27290964947. The next prime is 27290964973. The reversal of 27290964960 is 6946909272.

It is an interprime number because it is at equal distance from previous prime (27290964947) and next prime (27290964973).

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 = 27290964897 and 27290964906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487537 + ... + 540623.

It is an arithmetic number, because the mean of its divisors is an integer number (301008960).

Almost surely, 2^27290964960 is an apocalyptic number.

27290964960 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 27290964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57793720320).

27290964960 is an abundant number, since it is smaller than the sum of its proper divisors (88296475680).

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

27290964960 is a wasteful number, since it uses less digits than its factorization.

27290964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53135 (or 53121 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 27290964960 in words is "twenty-seven billion, two hundred ninety million, nine hundred sixty-four thousand, nine hundred sixty".