27520406240 has 48 divisors (see below), whose sum is σ = 67114293120. Its totient is φ = 10653058560.

The previous prime is 27520406233. The next prime is 27520406257. The reversal of 27520406240 is 4260402572.

It is a super-2 number, since 2×27520406240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 27520406197 and 27520406206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2769275 + ... + 2779194.

It is an arithmetic number, because the mean of its divisors is an integer number (1398214440).

Almost surely, 2^27520406240 is an apocalyptic number.

27520406240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27520406240 is an abundant number, since it is smaller than the sum of its proper divisors (39593886880).

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

27520406240 is a wasteful number, since it uses less digits than its factorization.

27520406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548515 (or 5548507 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 27520406240 in words is "twenty-seven billion, five hundred twenty million, four hundred six thousand, two hundred forty".