11858537523840 has 256 divisors, whose sum is σ = 43488891360000. Its totient is φ = 2692330979328.

The previous prime is 11858537523803. The next prime is 11858537523851. The reversal of 11858537523840 is 4832573585811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958285 + ... + 4963404.

It is an arithmetic number, because the mean of its divisors is an integer number (169878481875).

Almost surely, 2^{11858537523840} is an apocalyptic number.

11858537523840 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 11858537523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744445680000).

11858537523840 is an abundant number, since it is smaller than the sum of its proper divisors (31630353836160).

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

11858537523840 is a wasteful number, since it uses less digits than its factorization.

11858537523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921867 (or 5921855 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 60.

The spelling of 11858537523840 in words is "eleven trillion, eight hundred fifty-eight billion, five hundred thirty-seven million, five hundred twenty-three thousand, eight hundred forty".