27350231040 has 1152 divisors, whose sum is σ = 117393494400. Its totient is φ = 5969018880.

The previous prime is 27350231039. The next prime is 27350231071. The reversal of 27350231040 is 4013205372.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27350230995 and 27350231013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1189140469 + ... + 1189140491.

It is an arithmetic number, because the mean of its divisors is an integer number (101904075).

Almost surely, 2^27350231040 is an apocalyptic number.

27350231040 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 27350231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58696747200).

27350231040 is an abundant number, since it is smaller than the sum of its proper divisors (90043263360).

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

27350231040 is a wasteful number, since it uses less digits than its factorization.

27350231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 27350231040 in words is "twenty-seven billion, three hundred fifty million, two hundred thirty-one thousand, forty".