27919073952 has 576 divisors, whose sum is σ = 105356160000. Its totient is φ = 6987617280.

The previous prime is 27919073947. The next prime is 27919073971. The reversal of 27919073952 is 25937091972.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 55949799 + ... + 55950297.

It is an arithmetic number, because the mean of its divisors is an integer number (182910000).

Almost surely, 2^27919073952 is an apocalyptic number.

27919073952 is a gapful number since it is divisible by the number (22) 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 27919073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080000).

27919073952 is an abundant number, since it is smaller than the sum of its proper divisors (77437086048).

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

27919073952 is a wasteful number, since it uses less digits than its factorization.

27919073952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 27919073952 in words is "twenty-seven billion, nine hundred nineteen million, seventy-three thousand, nine hundred fifty-two".