27406493520 has 160 divisors (see below), whose sum is σ = 97155091200. Its totient is φ = 6260613120.

The previous prime is 27406493497. The next prime is 27406493537. The reversal of 27406493520 is 2539460472.

It is a super-2 number, since 2×27406493520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 3626706 + ... + 3634254.

It is an arithmetic number, because the mean of its divisors is an integer number (607219320).

Almost surely, 2^27406493520 is an apocalyptic number.

27406493520 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 27406493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48577545600).

27406493520 is an abundant number, since it is smaller than the sum of its proper divisors (69748597680).

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

27406493520 is a wasteful number, since it uses less digits than its factorization.

27406493520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 27406493520 in words is "twenty-seven billion, four hundred six million, four hundred ninety-three thousand, five hundred twenty".