27501601236480 has 960 divisors, whose sum is σ = 115002636503040. Its totient is φ = 5940136968192.

The previous prime is 27501601236467. The next prime is 27501601236523. The reversal of 27501601236480 is 8463210610572.

27501601236480 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 1 + 601 + 2 + 36 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 219762087 + ... + 219887193.

It is an arithmetic number, because the mean of its divisors is an integer number (119794413024).

Almost surely, 2^{27501601236480} is an apocalyptic number.

27501601236480 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 27501601236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57501318251520).

27501601236480 is an abundant number, since it is smaller than the sum of its proper divisors (87501035266560).

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

27501601236480 is a wasteful number, since it uses less digits than its factorization.

27501601236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125219 (or 125200 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27501601236480 in words is "twenty-seven trillion, five hundred one billion, six hundred one million, two hundred thirty-six thousand, four hundred eighty".