27150739200000 has 1728 divisors, whose sum is σ = 106895692612800. Its totient is φ = 6598656000000.

The previous prime is 27150739199981. The next prime is 27150739200019. The reversal of 27150739200000 is 293705172.

It is an interprime number because it is at equal distance from previous prime (27150739199981) and next prime (27150739200019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75628799821 + ... + 75628800179.

It is an arithmetic number, because the mean of its divisors is an integer number (61860933225).

Almost surely, 2^{27150739200000} is an apocalyptic number.

27150739200000 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 27150739200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53447846306400).

27150739200000 is an abundant number, since it is smaller than the sum of its proper divisors (79744953412800).

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

27150739200000 is a wasteful number, since it uses less digits than its factorization.

27150739200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 27150739200000 in words is "twenty-seven trillion, one hundred fifty billion, seven hundred thirty-nine million, two hundred thousand".