27049152000 has 320 divisors, whose sum is σ = 96858425664. Its totient is φ = 6657638400.

The previous prime is 27049151993. The next prime is 27049152019. The reversal of 27049152000 is 25194072.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490582 + ... + 2501418.

Almost surely, 2^27049152000 is an apocalyptic number.

27049152000 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 27049152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48429212832).

27049152000 is an abundant number, since it is smaller than the sum of its proper divisors (69809273664).

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

27049152000 is a wasteful number, since it uses less digits than its factorization.

27049152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

It can be divided in two parts, 270 and 49152000, that multiplied together give a square (13271040000 = 115200²).

The spelling of 27049152000 in words is "twenty-seven billion, forty-nine million, one hundred fifty-two thousand".