11857328259840 has 360 divisors, whose sum is σ = 48488790245280. Its totient is φ = 2710246293504.

The previous prime is 11857328259811. The next prime is 11857328259841. The reversal of 11857328259840 is 4895282375811.

11857328259840 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 32 + 8 + 2 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (11857328259841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7443145 + ... + 8894664.

Almost surely, 2^{11857328259840} is an apocalyptic number.

11857328259840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11857328259840 is an abundant number, since it is smaller than the sum of its proper divisors (36631461985440).

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

11857328259840 is an equidigital number, since it uses as much as digits as its factorization.

11857328259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337849 (or 16337826 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 11857328259840 in words is "eleven trillion, eight hundred fifty-seven billion, three hundred twenty-eight million, two hundred fifty-nine thousand, eight hundred forty".