11778758103000 has 1024 divisors, whose sum is σ = 45395359027200. Its totient is φ = 2482513920000.

The previous prime is 11778758102971. The next prime is 11778758103067. The reversal of 11778758103000 is 30185787711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13430738562 + ... + 13430739438.

It is an arithmetic number, because the mean of its divisors is an integer number (44331405300).

Almost surely, 2^{11778758103000} is an apocalyptic number.

11778758103000 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 11778758103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697679513600).

11778758103000 is an abundant number, since it is smaller than the sum of its proper divisors (33616600924200).

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

11778758103000 is a wasteful number, since it uses less digits than its factorization.

11778758103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 48.

The spelling of 11778758103000 in words is "eleven trillion, seven hundred seventy-eight billion, seven hundred fifty-eight million, one hundred three thousand".