27158557440 has 576 divisors, whose sum is σ = 106973475840. Its totient is φ = 5733089280.

The previous prime is 27158557423. The next prime is 27158557441. The reversal of 27158557440 is 4475585172.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27158557440.

It is not an unprimeable number, because it can be changed into a prime (27158557441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20938872 + ... + 20940168.

It is an arithmetic number, because the mean of its divisors is an integer number (185717840).

Almost surely, 2^27158557440 is an apocalyptic number.

27158557440 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 27158557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53486737920).

27158557440 is an abundant number, since it is smaller than the sum of its proper divisors (79814918400).

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

27158557440 is a wasteful number, since it uses less digits than its factorization.

27158557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 27158557440 in words is "twenty-seven billion, one hundred fifty-eight million, five hundred fifty-seven thousand, four hundred forty".