27710875920 has 720 divisors, whose sum is σ = 110263514112. Its totient is φ = 5736407040.

The previous prime is 27710875909. The next prime is 27710875937. The reversal of 27710875920 is 2957801772.

It is a happy number.

It is a super-3 number, since 3×27710875920³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27710875920.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145083025 + ... + 145083215.

Almost surely, 2^27710875920 is an apocalyptic number.

27710875920 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 27710875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55131757056).

27710875920 is an abundant number, since it is smaller than the sum of its proper divisors (82552638192).

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

27710875920 is a wasteful number, since it uses less digits than its factorization.

27710875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 27710875920 in words is "twenty-seven billion, seven hundred ten million, eight hundred seventy-five thousand, nine hundred twenty".