126611688000 has 1344 divisors, whose sum is σ = 527312388096. Its totient is φ = 26611200000.

The previous prime is 126611687987. The next prime is 126611688011. The reversal of 126611688000 is 886116621.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 126611688000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 838487925 + ... + 838488075.

Almost surely, 2^126611688000 is an apocalyptic number.

126611688000 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 126611688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263656194048).

126611688000 is an abundant number, since it is smaller than the sum of its proper divisors (400700700096).

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

126611688000 is a wasteful number, since it uses less digits than its factorization.

126611688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 126611688000 in words is "one hundred twenty-six billion, six hundred eleven million, six hundred eighty-eight thousand".