27954925440 has 384 divisors, whose sum is σ = 97557475680. Its totient is φ = 6805094400.

The previous prime is 27954925417. The next prime is 27954925441. The reversal of 27954925440 is 4452945972.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27954925441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32772054 + ... + 32772906.

Almost surely, 2^27954925440 is an apocalyptic number.

27954925440 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 27954925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48778737840).

27954925440 is an abundant number, since it is smaller than the sum of its proper divisors (69602550240).

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

27954925440 is a wasteful number, since it uses less digits than its factorization.

27954925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 27954925440 in words is "twenty-seven billion, nine hundred fifty-four million, nine hundred twenty-five thousand, four hundred forty".