126265778496000 has 2880 divisors, whose sum is σ = 551922157328256. Its totient is φ = 27482996736000.

The previous prime is 126265778495953. The next prime is 126265778496031. The reversal of 126265778496000 is 694877562621.

126265778496000 is a `hidden beast` number, since 1 + 2 + 6 + 26 + 57 + 78 + 496 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 39619006407 + ... + 39619009593.

Almost surely, 2^{126265778496000} is an apocalyptic number.

126265778496000 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 126265778496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275961078664128).

126265778496000 is an abundant number, since it is smaller than the sum of its proper divisors (425656378832256).

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

126265778496000 is a wasteful number, since it uses less digits than its factorization.

126265778496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 126265778496000 in words is "one hundred twenty-six trillion, two hundred sixty-five billion, seven hundred seventy-eight million, four hundred ninety-six thousand".