11311554345040 has 160 divisors (see below), whose sum is σ = 27945137396736. Its totient is φ = 4251755888640.

The previous prime is 11311554344989. The next prime is 11311554345061. The reversal of 11311554345040 is 4054345511311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12306079 + ... + 13193281.

Almost surely, 2^{11311554345040} is an apocalyptic number.

11311554345040 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 11311554345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972568698368).

11311554345040 is an abundant number, since it is smaller than the sum of its proper divisors (16633583051696).

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

11311554345040 is a wasteful number, since it uses less digits than its factorization.

11311554345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887397 (or 887391 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 11311554345040 its reverse (4054345511311), we get a palindrome (15365899856351).

The spelling of 11311554345040 in words is "eleven trillion, three hundred eleven billion, five hundred fifty-four million, three hundred forty-five thousand, forty".