126087099600 has 480 divisors, whose sum is σ = 504523708416. Its totient is φ = 26149939200.

The previous prime is 126087099577. The next prime is 126087099601. The reversal of 126087099600 is 6990780621.

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 126087099600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126087099601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67173862 + ... + 67175738.

Almost surely, 2^126087099600 is an apocalyptic number.

126087099600 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 126087099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252261854208).

126087099600 is an abundant number, since it is smaller than the sum of its proper divisors (378436608816).

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

126087099600 is a wasteful number, since it uses less digits than its factorization.

126087099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 126087099600 in words is "one hundred twenty-six billion, eighty-seven million, ninety-nine thousand, six hundred".