27486950400 has 2112 divisors, whose sum is σ = 136457932800. Its totient is φ = 5255331840.

The previous prime is 27486950333. The next prime is 27486950401. The reversal of 27486950400 is 405968472.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27486950401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1195084789 + ... + 1195084811.

Almost surely, 2^27486950400 is an apocalyptic number.

27486950400 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 27486950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68228966400).

27486950400 is an abundant number, since it is smaller than the sum of its proper divisors (108970982400).

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

27486950400 is a wasteful number, since it uses less digits than its factorization.

27486950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27486950400 in words is "twenty-seven billion, four hundred eighty-six million, nine hundred fifty thousand, four hundred".