27485602700400 has 600 divisors, whose sum is σ = 108702167216720. Its totient is φ = 6608340910080.

The previous prime is 27485602700383. The next prime is 27485602700419. The reversal of 27485602700400 is 400720658472.

It is a happy number.

27485602700400 is a `hidden beast` number, since 2 + 7 + 48 + 560 + 2 + 7 + 0 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17352816 + ... + 18870384.

Almost surely, 2^{27485602700400} is an apocalyptic number.

27485602700400 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 27485602700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54351083608360).

27485602700400 is an abundant number, since it is smaller than the sum of its proper divisors (81216564516320).

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

27485602700400 is a wasteful number, since it uses less digits than its factorization.

27485602700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517655 (or 1517635 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 27485602700400 in words is "twenty-seven trillion, four hundred eighty-five billion, six hundred two million, seven hundred thousand, four hundred".