27899630400 has 168 divisors, whose sum is σ = 96351933280. Its totient is φ = 7048304640.

The previous prime is 27899630357. The next prime is 27899630401. The reversal of 27899630400 is 403699872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27899630400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27899630401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61759 + ... + 244158.

Almost surely, 2^27899630400 is an apocalyptic number.

27899630400 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 27899630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48175966640).

27899630400 is an abundant number, since it is smaller than the sum of its proper divisors (68452302880).

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

27899630400 is a wasteful number, since it uses less digits than its factorization.

27899630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305961 (or 305946 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 27899630400 in words is "twenty-seven billion, eight hundred ninety-nine million, six hundred thirty thousand, four hundred".