11291606726400 has 3888 divisors, whose sum is σ = 55918440553248. Its totient is φ = 2136637440000.

The previous prime is 11291606726383. The next prime is 11291606726419. The reversal of 11291606726400 is 462760619211.

11291606726400 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 160 + 67 + 26 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 40763923062 + ... + 40763923338.

Almost surely, 2^{11291606726400} is an apocalyptic number.

11291606726400 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 11291606726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959220276624).

11291606726400 is an abundant number, since it is smaller than the sum of its proper divisors (44626833826848).

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

11291606726400 is a wasteful number, since it uses less digits than its factorization.

11291606726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11291606726400 in words is "eleven trillion, two hundred ninety-one billion, six hundred six million, seven hundred twenty-six thousand, four hundred".