27876708960 has 96 divisors (see below), whose sum is σ = 87939758592. Its totient is φ = 7422942720.

The previous prime is 27876708947. The next prime is 27876709013. The reversal of 27876708960 is 6980767872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27876708960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27876708894 and 27876708903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289657 + ... + 373703.

It is an arithmetic number, because the mean of its divisors is an integer number (916039152).

Almost surely, 2^27876708960 is an apocalyptic number.

27876708960 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 27876708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43969879296).

27876708960 is an abundant number, since it is smaller than the sum of its proper divisors (60063049632).

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

27876708960 is a wasteful number, since it uses less digits than its factorization.

27876708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84756 (or 84748 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 27876708960 in words is "twenty-seven billion, eight hundred seventy-six million, seven hundred eight thousand, nine hundred sixty".