27251450640 has 240 divisors, whose sum is σ = 96350297472. Its totient is φ = 6889107456.

The previous prime is 27251450599. The next prime is 27251450657. The reversal of 27251450640 is 4605415272.

It is a happy number.

27251450640 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 1 + 4 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 27251450595 and 27251450604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863999 + ... + 1878561.

Almost surely, 2^27251450640 is an apocalyptic number.

27251450640 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 27251450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48175148736).

27251450640 is an abundant number, since it is smaller than the sum of its proper divisors (69098846832).

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

27251450640 is a wasteful number, since it uses less digits than its factorization.

27251450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27251450640 in words is "twenty-seven billion, two hundred fifty-one million, four hundred fifty thousand, six hundred forty".