11857458026040 has 256 divisors, whose sum is σ = 39215935019520. Its totient is φ = 2844201123840.

The previous prime is 11857458025993. The next prime is 11857458026077. The reversal of 11857458026040 is 4062085475811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678219139 + ... + 678236621.

It is an arithmetic number, because the mean of its divisors is an integer number (153187246170).

Almost surely, 2^{11857458026040} is an apocalyptic number.

11857458026040 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 11857458026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607967509760).

11857458026040 is an abundant number, since it is smaller than the sum of its proper divisors (27358476993480).

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

11857458026040 is a wasteful number, since it uses less digits than its factorization.

11857458026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22898 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 11857458026040 in words is "eleven trillion, eight hundred fifty-seven billion, four hundred fifty-eight million, twenty-six thousand, forty".