27953049600 has 702 divisors, whose sum is σ = 116656385820. Its totient is φ = 6378946560.

The previous prime is 27953049581. The next prime is 27953049611. The reversal of 27953049600 is 694035972.

It is a happy number.

27953049600 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 30 + 4 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 45158091 + ... + 45158709.

Almost surely, 2^27953049600 is an apocalyptic number.

27953049600 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 27953049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58328192910).

27953049600 is an abundant number, since it is smaller than the sum of its proper divisors (88703336220).

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

27953049600 is a wasteful number, since it uses less digits than its factorization.

27953049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 27953049600 in words is "twenty-seven billion, nine hundred fifty-three million, forty-nine thousand, six hundred".