27752025600000 has 3120 divisors, whose sum is σ = 117067494075840. Its totient is φ = 6502809600000.

The previous prime is 27752025599959. The next prime is 27752025600017. The reversal of 27752025600000 is 652025772.

27752025600000 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 20 + 25 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 390873599965 + ... + 390873600035.

Almost surely, 2^{27752025600000} is an apocalyptic number.

27752025600000 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 27752025600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58533747037920).

27752025600000 is an abundant number, since it is smaller than the sum of its proper divisors (89315468475840).

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

27752025600000 is an frugal number, since it uses more digits than its factorization.

27752025600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 27752025600000 its reverse (652025772), we get a palindrome (27752677625772).

The spelling of 27752025600000 in words is "twenty-seven trillion, seven hundred fifty-two billion, twenty-five million, six hundred thousand".