27384961500 has 288 divisors, whose sum is σ = 97085649024. Its totient is φ = 6447513600.

The previous prime is 27384961489. The next prime is 27384961543. The reversal of 27384961500 is 516948372.

27384961500 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 496 + 150 + 0 = 666.

It is a super-2 number, since 2×27384961500² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335324 + ... + 1355676.

It is an arithmetic number, because the mean of its divisors is an integer number (337102948).

It is a 1-persistent number, because it is pandigital, but 2⋅27384961500 = 54769923000 is not.

Almost surely, 2^27384961500 is an apocalyptic number.

27384961500 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 27384961500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48542824512).

27384961500 is an abundant number, since it is smaller than the sum of its proper divisors (69700687524).

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

27384961500 is a wasteful number, since it uses less digits than its factorization.

27384961500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27384961500 in words is "twenty-seven billion, three hundred eighty-four million, nine hundred sixty-one thousand, five hundred".