27775897440 has 192 divisors, whose sum is σ = 92790774720. Its totient is φ = 6959923200.

The previous prime is 27775897417. The next prime is 27775897451. The reversal of 27775897440 is 4479857772.

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

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, 5783040 + ... + 5787840.

It is an arithmetic number, because the mean of its divisors is an integer number (483285285).

Almost surely, 2^27775897440 is an apocalyptic number.

27775897440 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 27775897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395387360).

27775897440 is an abundant number, since it is smaller than the sum of its proper divisors (65014877280).

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

27775897440 is a wasteful number, since it uses less digits than its factorization.

27775897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 60.

The spelling of 27775897440 in words is "twenty-seven billion, seven hundred seventy-five million, eight hundred ninety-seven thousand, four hundred forty".