126890272600 has 864 divisors, whose sum is σ = 407167689600. Its totient is φ = 36404121600.

The previous prime is 126890272591. The next prime is 126890272643. The reversal of 126890272600 is 6272098621.

It is a super-2 number, since 2×126890272600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1425733356 + ... + 1425733444.

It is an arithmetic number, because the mean of its divisors is an integer number (471258900).

Almost surely, 2^126890272600 is an apocalyptic number.

126890272600 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 126890272600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203583844800).

126890272600 is an abundant number, since it is smaller than the sum of its proper divisors (280277417000).

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

126890272600 is a wasteful number, since it uses less digits than its factorization.

126890272600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 126890272600 in words is "one hundred twenty-six billion, eight hundred ninety million, two hundred seventy-two thousand, six hundred".