27249505920 has 1536 divisors, whose sum is σ = 126152294400. Its totient is φ = 5434490880.

The previous prime is 27249505879. The next prime is 27249505939. The reversal of 27249505920 is 2950594272.

27249505920 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 9 + 50 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633709419 + ... + 633709461.

It is an arithmetic number, because the mean of its divisors is an integer number (82130400).

Almost surely, 2^27249505920 is an apocalyptic number.

27249505920 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 27249505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63076147200).

27249505920 is an abundant number, since it is smaller than the sum of its proper divisors (98902788480).

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

27249505920 is a wasteful number, since it uses less digits than its factorization.

27249505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27249505920 in words is "twenty-seven billion, two hundred forty-nine million, five hundred five thousand, nine hundred twenty".