27954864080 has 320 divisors, whose sum is σ = 78330986496. Its totient is φ = 9144576000.

The previous prime is 27954864037. The next prime is 27954864083. The reversal of 27954864080 is 8046845972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27954864083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103154345 + ... + 103154615.

Almost surely, 2^27954864080 is an apocalyptic number.

27954864080 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 27954864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39165493248).

27954864080 is an abundant number, since it is smaller than the sum of its proper divisors (50376122416).

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

27954864080 is a wasteful number, since it uses less digits than its factorization.

27954864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 27954864080 in words is "twenty-seven billion, nine hundred fifty-four million, eight hundred sixty-four thousand, eighty".