27305551840 has 72 divisors (see below), whose sum is σ = 75041529192. Its totient is φ = 9361900800.

The previous prime is 27305551831. The next prime is 27305551859. The reversal of 27305551840 is 4815550372.

It is a super-2 number, since 2×27305551840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27305551793 and 27305551802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1733586 + ... + 1749265.

It is an arithmetic number, because the mean of its divisors is an integer number (1042243461).

Almost surely, 2^27305551840 is an apocalyptic number.

27305551840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27305551840 is an abundant number, since it is smaller than the sum of its proper divisors (47735977352).

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

27305551840 is a wasteful number, since it uses less digits than its factorization.

27305551840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482880 (or 3482865 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 27305551840 in words is "twenty-seven billion, three hundred five million, five hundred fifty-one thousand, eight hundred forty".