127026557000 has 128 divisors (see below), whose sum is σ = 340048800000. Its totient is φ = 43507929600.

The previous prime is 127026556973. The next prime is 127026557033. The reversal of 127026557000 is 755620721.

It is a happy number.

It is a super-2 number, since 2×127026557000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7334351 + ... + 7351649.

It is an arithmetic number, because the mean of its divisors is an integer number (2656631250).

Almost surely, 2^127026557000 is an apocalyptic number.

127026557000 is a gapful number since it is divisible by the number (10) 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 127026557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170024400000).

127026557000 is an abundant number, since it is smaller than the sum of its proper divisors (213022243000).

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

127026557000 is a wasteful number, since it uses less digits than its factorization.

127026557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18376 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 127026557000 in words is "one hundred twenty-seven billion, twenty-six million, five hundred fifty-seven thousand".