27254922240 has 1408 divisors, whose sum is σ = 120435130368. Its totient is φ = 5096079360.

The previous prime is 27254922239. The next prime is 27254922251. The reversal of 27254922240 is 4222945272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 736619502 + ... + 736619538.

Almost surely, 2^27254922240 is an apocalyptic number.

27254922240 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 27254922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217565184).

27254922240 is an abundant number, since it is smaller than the sum of its proper divisors (93180208128).

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

27254922240 is a wasteful number, since it uses less digits than its factorization.

27254922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 27254922240 in words is "twenty-seven billion, two hundred fifty-four million, nine hundred twenty-two thousand, two hundred forty".