11107125494640 has 640 divisors, whose sum is σ = 44080884357120. Its totient is φ = 2518041157632.

The previous prime is 11107125494603. The next prime is 11107125494659. The reversal of 11107125494640 is 4649452170111.

11107125494640 is a `hidden beast` number, since 1 + 1 + 10 + 7 + 12 + 549 + 46 + 40 = 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, 4149092982 + ... + 4149095658.

It is an arithmetic number, because the mean of its divisors is an integer number (68876381808).

Almost surely, 2^{11107125494640} is an apocalyptic number.

11107125494640 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 11107125494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22040442178560).

11107125494640 is an abundant number, since it is smaller than the sum of its proper divisors (32973758862480).

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

11107125494640 is a wasteful number, since it uses less digits than its factorization.

11107125494640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11107125494640 in words is "eleven trillion, one hundred seven billion, one hundred twenty-five million, four hundred ninety-four thousand, six hundred forty".