27913228800 has 240 divisors, whose sum is σ = 92492359872. Its totient is φ = 7420723200.

The previous prime is 27913228787. The next prime is 27913228801. The reversal of 27913228800 is 882231972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×27913228800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27913228801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15243885 + ... + 15245715.

Almost surely, 2^27913228800 is an apocalyptic number.

27913228800 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 27913228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46246179936).

27913228800 is an abundant number, since it is smaller than the sum of its proper divisors (64579131072).

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

27913228800 is a wasteful number, since it uses less digits than its factorization.

27913228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 27913228800 in words is "twenty-seven billion, nine hundred thirteen million, two hundred twenty-eight thousand, eight hundred".