11876464425000 has 1152 divisors, whose sum is σ = 46681080969600. Its totient is φ = 2501694720000.

The previous prime is 11876464424941. The next prime is 11876464425029. The reversal of 11876464425000 is 52446467811.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2583522702 + ... + 2583527298.

It is an arithmetic number, because the mean of its divisors is an integer number (40521771675).

Almost surely, 2^{11876464425000} is an apocalyptic number.

11876464425000 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 11876464425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340540484800).

11876464425000 is an abundant number, since it is smaller than the sum of its proper divisors (34804616544600).

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

11876464425000 is a wasteful number, since it uses less digits than its factorization.

11876464425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 11876464425000 in words is "eleven trillion, eight hundred seventy-six billion, four hundred sixty-four million, four hundred twenty-five thousand".