127840266900 has 720 divisors, whose sum is σ = 466652007360. Its totient is φ = 30083788800.

The previous prime is 127840266859. The next prime is 127840266907. The reversal of 127840266900 is 9662048721.

It is a happy number.

It is a super-2 number, since 2×127840266900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127840266907) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 342735114 + ... + 342735486.

It is an arithmetic number, because the mean of its divisors is an integer number (648127788).

Almost surely, 2^127840266900 is an apocalyptic number.

127840266900 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 127840266900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233326003680).

127840266900 is an abundant number, since it is smaller than the sum of its proper divisors (338811740460).

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

127840266900 is a wasteful number, since it uses less digits than its factorization.

127840266900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 127840266900 in words is "one hundred twenty-seven billion, eight hundred forty million, two hundred sixty-six thousand, nine hundred".