27303206542920 has 2048 divisors, whose sum is σ = 123783469056000. Its totient is φ = 5181996072960.

The previous prime is 27303206542907. The next prime is 27303206543027. The reversal of 27303206542920 is 2924560230372.

27303206542920 is a `hidden beast` number, since 2 + 7 + 30 + 320 + 6 + 5 + 4 + 292 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6606145174 + ... + 6606149306.

It is an arithmetic number, because the mean of its divisors is an integer number (60441147000).

Almost surely, 2^{27303206542920} is an apocalyptic number.

27303206542920 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 27303206542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61891734528000).

27303206542920 is an abundant number, since it is smaller than the sum of its proper divisors (96480262513080).

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

27303206542920 is a wasteful number, since it uses less digits than its factorization.

27303206542920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 27303206542920 in words is "twenty-seven trillion, three hundred three billion, two hundred six million, five hundred forty-two thousand, nine hundred twenty".