27026213760 has 1280 divisors, whose sum is σ = 126149063040. Its totient is φ = 5350883328.

The previous prime is 27026213741. The next prime is 27026213761. The reversal of 27026213760 is 6731262072.

It is a happy number.

27026213760 is a `hidden beast` number, since 27 + 0 + 2 + 621 + 3 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27026213761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196312 + ... + 80196648.

Almost surely, 2^27026213760 is an apocalyptic number.

27026213760 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 27026213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63074531520).

27026213760 is an abundant number, since it is smaller than the sum of its proper divisors (99122849280).

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

27026213760 is a wasteful number, since it uses less digits than its factorization.

27026213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 27026213760 in words is "twenty-seven billion, twenty-six million, two hundred thirteen thousand, seven hundred sixty".