10868957493240 has 1024 divisors, whose sum is σ = 42495197184000. Its totient is φ = 2158119936000.

The previous prime is 10868957493193. The next prime is 10868957493241. The reversal of 10868957493240 is 4239475986801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10868957493241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15329982006 + ... + 15329982714.

It is an arithmetic number, because the mean of its divisors is an integer number (41499216000).

It is a 1-persistent number, because it is pandigital, but 2⋅10868957493240 = 21737914986480 is not.

Almost surely, 2^{10868957493240} is an apocalyptic number.

10868957493240 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 10868957493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21247598592000).

10868957493240 is an abundant number, since it is smaller than the sum of its proper divisors (31626239690760).

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

10868957493240 is a wasteful number, since it uses less digits than its factorization.

10868957493240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 10868957493240 in words is "ten trillion, eight hundred sixty-eight billion, nine hundred fifty-seven million, four hundred ninety-three thousand, two hundred forty".