27121415552 has 128 divisors (see below), whose sum is σ = 67743993600. Its totient is φ = 10507069440.

The previous prime is 27121415507. The next prime is 27121415557. The reversal of 27121415552 is 25551412172.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27121415557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756538 + ... + 1771910.

It is an arithmetic number, because the mean of its divisors is an integer number (529249950).

Almost surely, 2^27121415552 is an apocalyptic number.

27121415552 is a gapful number since it is divisible by the number (22) 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 27121415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33871996800).

27121415552 is an abundant number, since it is smaller than the sum of its proper divisors (40622578048).

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

27121415552 is a wasteful number, since it uses less digits than its factorization.

27121415552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584 (or 15572 counting only the distinct ones).

The product of its digits is 28000, while the sum is 35.

The spelling of 27121415552 in words is "twenty-seven billion, one hundred twenty-one million, four hundred fifteen thousand, five hundred fifty-two".