27581385120 has 96 divisors (see below), whose sum is σ = 86932077120. Its totient is φ = 7350743040.

The previous prime is 27581385113. The next prime is 27581385127. The reversal of 27581385120 is 2158318572.

It is an interprime number because it is at equal distance from previous prime (27581385113) and next prime (27581385127).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27581385127) 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, 853416 + ... + 885144.

It is an arithmetic number, because the mean of its divisors is an integer number (905542470).

Almost surely, 2^27581385120 is an apocalyptic number.

27581385120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27581385120 is an abundant number, since it is smaller than the sum of its proper divisors (59350692000).

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

27581385120 is a wasteful number, since it uses less digits than its factorization.

27581385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33558 (or 33550 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 27581385120 in words is "twenty-seven billion, five hundred eighty-one million, three hundred eighty-five thousand, one hundred twenty".