27761233920 has 416 divisors, whose sum is σ = 107514148608. Its totient is φ = 5970591744.

The previous prime is 27761233909. The next prime is 27761233943. The reversal of 27761233920 is 2933216772.

It is a super-2 number, since 2×27761233920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7309462 + ... + 7313258.

Almost surely, 2^27761233920 is an apocalyptic number.

27761233920 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 27761233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53757074304).

27761233920 is an abundant number, since it is smaller than the sum of its proper divisors (79752914688).

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

27761233920 is a wasteful number, since it uses less digits than its factorization.

27761233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 27761233920 in words is "twenty-seven billion, seven hundred sixty-one million, two hundred thirty-three thousand, nine hundred twenty".