127790291088 has 160 divisors (see below), whose sum is σ = 376104261120. Its totient is φ = 41518863360.

The previous prime is 127790291021. The next prime is 127790291089. The reversal of 127790291088 is 880192097721.

127790291088 is a `hidden beast` number, since 1 + 277 + 9 + 0 + 291 + 0 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127790291089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23501106 + ... + 23506542.

It is an arithmetic number, because the mean of its divisors is an integer number (2350651632).

Almost surely, 2^127790291088 is an apocalyptic number.

127790291088 is a gapful number since it is divisible by the number (18) 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 127790291088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188052130560).

127790291088 is an abundant number, since it is smaller than the sum of its proper divisors (248313970032).

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

127790291088 is a wasteful number, since it uses less digits than its factorization.

127790291088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 127790291088 in words is "one hundred twenty-seven billion, seven hundred ninety million, two hundred ninety-one thousand, eighty-eight".