27876960000 has 630 divisors, whose sum is σ = 104689551120. Its totient is φ = 7402752000.

The previous prime is 27876959939. The next prime is 27876960019. The reversal of 27876960000 is 6967872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 116639881 + ... + 116640119.

Almost surely, 2^27876960000 is an apocalyptic number.

27876960000 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 27876960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344775560).

27876960000 is an abundant number, since it is smaller than the sum of its proper divisors (76812591120).

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

27876960000 is an frugal number, since it uses more digits than its factorization.

27876960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27876960000 in words is "twenty-seven billion, eight hundred seventy-six million, nine hundred sixty thousand".