10850518879200 has 4320 divisors, whose sum is σ = 56482814868480. Its totient is φ = 1988814643200.

The previous prime is 10850518879153. The next prime is 10850518879261. The reversal of 10850518879200 is 297881505801.

10850518879200 is a `hidden beast` number, since 1 + 0 + 8 + 50 + 518 + 8 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 719 ways as a sum of consecutive naturals, for example, 10443232281 + ... + 10443233319.

It is an arithmetic number, because the mean of its divisors is an integer number (13074725664).

Almost surely, 2^{10850518879200} is an apocalyptic number.

10850518879200 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 10850518879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28241407434240).

10850518879200 is an abundant number, since it is smaller than the sum of its proper divisors (45632295989280).

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

10850518879200 is a wasteful number, since it uses less digits than its factorization.

10850518879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 10850518879200 in words is "ten trillion, eight hundred fifty billion, five hundred eighteen million, eight hundred seventy-nine thousand, two hundred".