27150761400 has 192 divisors, whose sum is σ = 96323834880. Its totient is φ = 6197337600.

The previous prime is 27150761383. The next prime is 27150761453. The reversal of 27150761400 is 416705172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343345 + ... + 3351455.

It is an arithmetic number, because the mean of its divisors is an integer number (501686640).

Almost surely, 2^27150761400 is an apocalyptic number.

27150761400 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 27150761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48161917440).

27150761400 is an abundant number, since it is smaller than the sum of its proper divisors (69173073480).

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

27150761400 is a wasteful number, since it uses less digits than its factorization.

27150761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 27150761400 in words is "twenty-seven billion, one hundred fifty million, seven hundred sixty-one thousand, four hundred".