27142752000 has 864 divisors, whose sum is σ = 112036055040. Its totient is φ = 5702860800.

The previous prime is 27142751843. The next prime is 27142752001. The reversal of 27142752000 is 25724172.

It is a super-2 number, since 2×27142752000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27142752001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113567881 + ... + 113568119.

It is an arithmetic number, because the mean of its divisors is an integer number (129671360).

Almost surely, 2^27142752000 is an apocalyptic number.

27142752000 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 27142752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56018027520).

27142752000 is an abundant number, since it is smaller than the sum of its proper divisors (84893303040).

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

27142752000 is a wasteful number, since it uses less digits than its factorization.

27142752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 27142752000 in words is "twenty-seven billion, one hundred forty-two million, seven hundred fifty-two thousand".