11260978326400 has 192 divisors, whose sum is σ = 30355746014160. Its totient is φ = 4093728768000.

The previous prime is 11260978326271. The next prime is 11260978326421. The reversal of 11260978326400 is 462387906211.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 127978420 + ... + 128066380.

Almost surely, 2^{11260978326400} is an apocalyptic number.

11260978326400 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 11260978326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177873007080).

11260978326400 is an abundant number, since it is smaller than the sum of its proper divisors (19094767687760).

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

11260978326400 is a wasteful number, since it uses less digits than its factorization.

11260978326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91633 (or 91616 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 11260978326400 in words is "eleven trillion, two hundred sixty billion, nine hundred seventy-eight million, three hundred twenty-six thousand, four hundred".