27157950120 has 288 divisors, whose sum is σ = 99086893920. Its totient is φ = 5936958720.

The previous prime is 27157950119. The next prime is 27157950121. The reversal of 27157950120 is 2105975172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27157950119) and next prime (27157950121).

It is not an unprimeable number, because it can be changed into a prime (27157950121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3106155 + ... + 3114885.

It is an arithmetic number, because the mean of its divisors is an integer number (344051715).

Almost surely, 2^27157950120 is an apocalyptic number.

27157950120 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 27157950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49543446960).

27157950120 is an abundant number, since it is smaller than the sum of its proper divisors (71928943800).

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

27157950120 is a wasteful number, since it uses less digits than its factorization.

27157950120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 27157950120 in words is "twenty-seven billion, one hundred fifty-seven million, nine hundred fifty thousand, one hundred twenty".