11601426426480 has 640 divisors, whose sum is σ = 45213427584000. Its totient is φ = 2708442132480.

The previous prime is 11601426426479. The next prime is 11601426426493. The reversal of 11601426426480 is 8462462410611.

11601426426480 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 142 + 6 + 4 + 26 + 480 = 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 127 ways as a sum of consecutive naturals, for example, 268014919 + ... + 268058201.

It is an arithmetic number, because the mean of its divisors is an integer number (70645980600).

Almost surely, 2^{11601426426480} is an apocalyptic number.

11601426426480 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 11601426426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22606713792000).

11601426426480 is an abundant number, since it is smaller than the sum of its proper divisors (33612001157520).

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

11601426426480 is a wasteful number, since it uses less digits than its factorization.

11601426426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43734 (or 43722 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 11601426426480 in words is "eleven trillion, six hundred one billion, four hundred twenty-six million, four hundred twenty-six thousand, four hundred eighty".