27835991040 has 1408 divisors, whose sum is σ = 118850457600. Its totient is φ = 5449973760.

The previous prime is 27835991033. The next prime is 27835991077. The reversal of 27835991040 is 4019953872.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 959861746 + ... + 959861774.

Almost surely, 2^27835991040 is an apocalyptic number.

27835991040 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 27835991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59425228800).

27835991040 is an abundant number, since it is smaller than the sum of its proper divisors (91014466560).

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

27835991040 is a wasteful number, since it uses less digits than its factorization.

27835991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 27835991040 in words is "twenty-seven billion, eight hundred thirty-five million, nine hundred ninety-one thousand, forty".