10318355523840 has 3456 divisors, whose sum is σ = 45660696883200. Its totient is φ = 1961247375360.

The previous prime is 10318355523811. The next prime is 10318355523907. The reversal of 10318355523840 is 4832555381301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10318355523840.

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 383 ways as a sum of consecutive naturals, for example, 145328951005 + ... + 145328951075.

It is an arithmetic number, because the mean of its divisors is an integer number (13212007200).

Almost surely, 2^{10318355523840} is an apocalyptic number.

10318355523840 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 10318355523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830348441600).

10318355523840 is an abundant number, since it is smaller than the sum of its proper divisors (35342341359360).

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

10318355523840 is a wasteful number, since it uses less digits than its factorization.

10318355523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 10318355523840 in words is "ten trillion, three hundred eighteen billion, three hundred fifty-five million, five hundred twenty-three thousand, eight hundred forty".