27675772460400 has 240 divisors, whose sum is σ = 92742335253504. Its totient is φ = 7041542999040.

The previous prime is 27675772460299. The next prime is 27675772460447. The reversal of 27675772460400 is 406427757672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9694297 + ... + 12220103.

Almost surely, 2^{27675772460400} is an apocalyptic number.

27675772460400 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 27675772460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46371167626752).

27675772460400 is an abundant number, since it is smaller than the sum of its proper divisors (65066562793104).

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

27675772460400 is a wasteful number, since it uses less digits than its factorization.

27675772460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526248 (or 2526237 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 57.

The spelling of 27675772460400 in words is "twenty-seven trillion, six hundred seventy-five billion, seven hundred seventy-two million, four hundred sixty thousand, four hundred".