27150017400 has 480 divisors, whose sum is σ = 103448378880. Its totient is φ = 6544800000.

The previous prime is 27150017329. The next prime is 27150017423. The reversal of 27150017400 is 471005172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44727897 + ... + 44728503.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 2^27150017400 is an apocalyptic number.

27150017400 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 27150017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724189440).

27150017400 is an abundant number, since it is smaller than the sum of its proper divisors (76298361480).

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

27150017400 is a wasteful number, since it uses less digits than its factorization.

27150017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 27150017400 in words is "twenty-seven billion, one hundred fifty million, seventeen thousand, four hundred".