27228452771520 has 4480 divisors, whose sum is σ = 135278443948032. Its totient is φ = 5016453120000.

The previous prime is 27228452771519. The next prime is 27228452771543. The reversal of 27228452771520 is 2517725482272.

27228452771520 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 8 + 45 + 2 + 7 + 71 + 520 = 666.

It is a super-2 number, since 2×27228452771520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 108479891395 + ... + 108479891645.

Almost surely, 2^{27228452771520} is an apocalyptic number.

27228452771520 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 27228452771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67639221974016).

27228452771520 is an abundant number, since it is smaller than the sum of its proper divisors (108049991176512).

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

27228452771520 is a wasteful number, since it uses less digits than its factorization.

27228452771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

It can be divided in two parts, 27228452 and 771520, that added together give a palindrome (27999972).

The spelling of 27228452771520 in words is "twenty-seven trillion, two hundred twenty-eight billion, four hundred fifty-two million, seven hundred seventy-one thousand, five hundred twenty".