27248311440 has 160 divisors (see below), whose sum is σ = 107263253760. Its totient is φ = 6228182016.

The previous prime is 27248311427. The next prime is 27248311457. The reversal of 27248311440 is 4411384272.

27248311440 is a `hidden beast` number, since 27 + 2 + 483 + 114 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27248311395 and 27248311404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885949 + ... + 916188.

It is an arithmetic number, because the mean of its divisors is an integer number (670395336).

Almost surely, 2^27248311440 is an apocalyptic number.

27248311440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27248311440 is an abundant number, since it is smaller than the sum of its proper divisors (80014942320).

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

27248311440 is a wasteful number, since it uses less digits than its factorization.

27248311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802166 (or 1802154 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27248311440 in words is "twenty-seven billion, two hundred forty-eight million, three hundred eleven thousand, four hundred forty".