126696960000 has 1300 divisors, whose sum is σ = 520166768352. Its totient is φ = 30523392000.

The previous prime is 126696959999. The next prime is 126696960029. The reversal of 126696960000 is 69696621.

It is a tau number, because it is divible by the number of its divisors (1300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2695679977 + ... + 2695680023.

Almost surely, 2^126696960000 is an apocalyptic number.

126696960000 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 126696960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260083384176).

126696960000 is an abundant number, since it is smaller than the sum of its proper divisors (393469808352).

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

126696960000 is an frugal number, since it uses more digits than its factorization.

126696960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 126696960000 in words is "one hundred twenty-six billion, six hundred ninety-six million, nine hundred sixty thousand".