27870103040 has 160 divisors (see below), whose sum is σ = 72609790176. Its totient is φ = 10198056960.

The previous prime is 27870102983. The next prime is 27870103043. The reversal of 27870103040 is 4030107872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 27870102988 and 27870103006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27870103043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756935 + ... + 3764345.

Almost surely, 2^27870103040 is an apocalyptic number.

27870103040 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 27870103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36304895088).

27870103040 is an abundant number, since it is smaller than the sum of its proper divisors (44739687136).

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

27870103040 is a wasteful number, since it uses less digits than its factorization.

27870103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 27870103040 in words is "twenty-seven billion, eight hundred seventy million, one hundred three thousand, forty".