27525104640 has 704 divisors, whose sum is σ = 111493048320. Its totient is φ = 6374522880.

The previous prime is 27525104627. The next prime is 27525104657. The reversal of 27525104640 is 4640152572.

It is a happy number.

27525104640 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 5 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 27525104595 and 27525104604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34974327 + ... + 34975113.

Almost surely, 2^27525104640 is an apocalyptic number.

27525104640 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 27525104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55746524160).

27525104640 is an abundant number, since it is smaller than the sum of its proper divisors (83967943680).

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

27525104640 is a wasteful number, since it uses less digits than its factorization.

27525104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27525104640 in words is "twenty-seven billion, five hundred twenty-five million, one hundred four thousand, six hundred forty".