27802527480 has 960 divisors, whose sum is σ = 123401124000. Its totient is φ = 5549451264.

The previous prime is 27802527469. The next prime is 27802527497. The reversal of 27802527480 is 8472520872.

27802527480 is a `hidden beast` number, since 2 + 7 + 80 + 2 + 527 + 48 + 0 = 666.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 39213366 + ... + 39214074.

Almost surely, 2^27802527480 is an apocalyptic number.

27802527480 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 27802527480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700562000).

27802527480 is an abundant number, since it is smaller than the sum of its proper divisors (95598596520).

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

27802527480 is a wasteful number, since it uses less digits than its factorization.

27802527480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27802527480 in words is "twenty-seven billion, eight hundred two million, five hundred twenty-seven thousand, four hundred eighty".