27759994080 has 1152 divisors, whose sum is σ = 119001415680. Its totient is φ = 5305098240.

The previous prime is 27759994019. The next prime is 27759994081. The reversal of 27759994080 is 8049995772.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27759994081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334457719 + ... + 334457801.

It is an arithmetic number, because the mean of its divisors is an integer number (103299840).

Almost surely, 2^27759994080 is an apocalyptic number.

27759994080 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 27759994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59500707840).

27759994080 is an abundant number, since it is smaller than the sum of its proper divisors (91241421600).

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

27759994080 is a wasteful number, since it uses less digits than its factorization.

27759994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 27759994080 in words is "twenty-seven billion, seven hundred fifty-nine million, nine hundred ninety-four thousand, eighty".