27638001911520 has 1152 divisors, whose sum is σ = 126712642387968. Its totient is φ = 5297832345600.

The previous prime is 27638001911473. The next prime is 27638001911557. The reversal of 27638001911520 is 2511910083672.

27638001911520 is a `hidden beast` number, since 2 + 7 + 6 + 38 + 0 + 0 + 1 + 91 + 1 + 520 = 666.

It is a super-3 number, since 3×27638001911520³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2682514689 + ... + 2682524991.

It is an arithmetic number, because the mean of its divisors is an integer number (109993613184).

Almost surely, 2^{27638001911520} is an apocalyptic number.

27638001911520 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 27638001911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63356321193984).

27638001911520 is an abundant number, since it is smaller than the sum of its proper divisors (99074640476448).

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

27638001911520 is a wasteful number, since it uses less digits than its factorization.

27638001911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 27638001911520 in words is "twenty-seven trillion, six hundred thirty-eight billion, one million, nine hundred eleven thousand, five hundred twenty".