27350997020928 has 504 divisors, whose sum is σ = 95458282976000. Its totient is φ = 7814552288256.

The previous prime is 27350997020797. The next prime is 27350997020953. The reversal of 27350997020928 is 82902079905372.

27350997020928 is a `hidden beast` number, since 2 + 7 + 350 + 9 + 9 + 70 + 209 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63798393 + ... + 64225671.

Almost surely, 2^{27350997020928} is an apocalyptic number.

27350997020928 is a gapful number since it is divisible by the number (28) 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 27350997020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729141488000).

27350997020928 is an abundant number, since it is smaller than the sum of its proper divisors (68107285955072).

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

27350997020928 is an frugal number, since it uses more digits than its factorization.

27350997020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427334 (or 427291 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 27350997020928 in words is "twenty-seven trillion, three hundred fifty billion, nine hundred ninety-seven million, twenty thousand, nine hundred twenty-eight".