10358541850800 has 480 divisors, whose sum is σ = 41034631115520. Its totient is φ = 2195994931200.

The previous prime is 10358541850799. The next prime is 10358541850807. The reversal of 10358541850800 is 805814585301.

It is a super-3 number, since 3×10358541850800³ (a number of 40 digits) contains 333 as substring.

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 10358541850800.

It is not an unprimeable number, because it can be changed into a prime (10358541850807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1671862 + ... + 4848938.

It is an arithmetic number, because the mean of its divisors is an integer number (85488814824).

Almost surely, 2^{10358541850800} is an apocalyptic number.

10358541850800 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 10358541850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517315557760).

10358541850800 is an abundant number, since it is smaller than the sum of its proper divisors (30676089264720).

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

10358541850800 is a wasteful number, since it uses less digits than its factorization.

10358541850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177141 (or 3177130 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 10358541850800 in words is "ten trillion, three hundred fifty-eight billion, five hundred forty-one million, eight hundred fifty thousand, eight hundred".