11047626408000 has 448 divisors, whose sum is σ = 44897562597888. Its totient is φ = 2330927308800.

The previous prime is 11047626407977. The next prime is 11047626408017. The reversal of 11047626408000 is 80462674011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11047626408000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345219 + ... + 4713218.

It is an arithmetic number, because the mean of its divisors is an integer number (100217773656).

Almost surely, 2^{11047626408000} is an apocalyptic number.

11047626408000 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 11047626408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448781298944).

11047626408000 is an abundant number, since it is smaller than the sum of its proper divisors (33849936189888).

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

11047626408000 is a wasteful number, since it uses less digits than its factorization.

11047626408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058487 (or 5058467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11047626408000 in words is "eleven trillion, forty-seven billion, six hundred twenty-six million, four hundred eight thousand".