11405690628696 has 2304 divisors, whose sum is σ = 43802248089600. Its totient is φ = 2748530340864.

The previous prime is 11405690628691. The next prime is 11405690628767. The reversal of 11405690628696 is 69682609650411.

11405690628696 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 569 + 0 + 6 + 2 + 8 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405690628691) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82055328195 + ... + 82055328333.

It is an arithmetic number, because the mean of its divisors is an integer number (19011392400).

Almost surely, 2^{11405690628696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405690628696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21901124044800).

11405690628696 is an abundant number, since it is smaller than the sum of its proper divisors (32396557460904).

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

11405690628696 is a wasteful number, since it uses less digits than its factorization.

11405690628696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 11405690628696 in words is "eleven trillion, four hundred five billion, six hundred ninety million, six hundred twenty-eight thousand, six hundred ninety-six".