27792124416 has 240 divisors, whose sum is σ = 97062698304. Its totient is φ = 7473364992.

The previous prime is 27792124403. The next prime is 27792124427. The reversal of 27792124416 is 61442129772.

27792124416 is a `hidden beast` number, since 27 + 7 + 92 + 124 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523011 + ... + 573693.

Almost surely, 2^27792124416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27792124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48531349152).

27792124416 is an abundant number, since it is smaller than the sum of its proper divisors (69270573888).

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

27792124416 is a wasteful number, since it uses less digits than its factorization.

27792124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50731 (or 50712 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 27792124416 in words is "twenty-seven billion, seven hundred ninety-two million, one hundred twenty-four thousand, four hundred sixteen".