27253138953600 has 2688 divisors, whose sum is σ = 128598833433600. Its totient is φ = 5553213603840.

The previous prime is 27253138953569. The next prime is 27253138953683. The reversal of 27253138953600 is 635983135272.

27253138953600 is a `hidden beast` number, since 2 + 7 + 25 + 3 + 1 + 3 + 8 + 9 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5274458217 + ... + 5274463383.

Almost surely, 2^{27253138953600} is an apocalyptic number.

27253138953600 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 27253138953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64299416716800).

27253138953600 is an abundant number, since it is smaller than the sum of its proper divisors (101345694480000).

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

27253138953600 is a wasteful number, since it uses less digits than its factorization.

27253138953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 27253138953600 in words is "twenty-seven trillion, two hundred fifty-three billion, one hundred thirty-eight million, nine hundred fifty-three thousand, six hundred".