27350222305536 has 1215 divisors, whose sum is σ = 93963203656959. Its totient is φ = 7647308218368.

The previous prime is 27350222305501. The next prime is 27350222305561. The reversal of 27350222305536 is 63550322205372.

It is a happy number.

The square root of 27350222305536 is 5229744.

It is a perfect power (a square), and thus also a powerful number.

27350222305536 is a `hidden beast` number, since 2 + 7 + 3 + 50 + 22 + 23 + 0 + 553 + 6 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 25992866822400 + 1357355483136 = 5098320^2 + 1165056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27350222305491 and 27350222305500.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 943111113970 + ... + 943111113998.

Almost surely, 2^{27350222305536} is an apocalyptic number.

27350222305536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27350222305536 is the 5229744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27350222305536

27350222305536 is an abundant number, since it is smaller than the sum of its proper divisors (66612981351423).

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

27350222305536 is an frugal number, since it uses more digits than its factorization.

27350222305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 27350222305536 in words is "twenty-seven trillion, three hundred fifty billion, two hundred twenty-two million, three hundred five thousand, five hundred thirty-six".