27155157120 has 768 divisors, whose sum is σ = 120531196800. Its totient is φ = 5727117312.

The previous prime is 27155157119. The next prime is 27155157121. The reversal of 27155157120 is 2175155172.

27155157120 is a `hidden beast` number, since 2 + 7 + 15 + 51 + 571 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (27155157119) and next prime (27155157121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27155157121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11006127 + ... + 11008593.

Almost surely, 2^27155157120 is an apocalyptic number.

27155157120 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 27155157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265598400).

27155157120 is an abundant number, since it is smaller than the sum of its proper divisors (93376039680).

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

27155157120 is a wasteful number, since it uses less digits than its factorization.

27155157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 27155157120 in words is "twenty-seven billion, one hundred fifty-five million, one hundred fifty-seven thousand, one hundred twenty".