27458241720 has 384 divisors, whose sum is σ = 104523955200. Its totient is φ = 5718795264.

The previous prime is 27458241653. The next prime is 27458241737. The reversal of 27458241720 is 2714285472.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6036487 + ... + 6041033.

It is an arithmetic number, because the mean of its divisors is an integer number (272197800).

Almost surely, 2^27458241720 is an apocalyptic number.

27458241720 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 27458241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52261977600).

27458241720 is an abundant number, since it is smaller than the sum of its proper divisors (77065713480).

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

27458241720 is a wasteful number, since it uses less digits than its factorization.

27458241720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 27458241720 in words is "twenty-seven billion, four hundred fifty-eight million, two hundred forty-one thousand, seven hundred twenty".