27970113600 has 1512 divisors, whose sum is σ = 126706140288. Its totient is φ = 5765529600.

The previous prime is 27970113569. The next prime is 27970113601. The reversal of 27970113600 is 631107972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27970113601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 595108777 + ... + 595108823.

Almost surely, 2^27970113600 is an apocalyptic number.

27970113600 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 27970113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63353070144).

27970113600 is an abundant number, since it is smaller than the sum of its proper divisors (98736026688).

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

27970113600 is a wasteful number, since it uses less digits than its factorization.

27970113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 27970113600 in words is "twenty-seven billion, nine hundred seventy million, one hundred thirteen thousand, six hundred".