10950364203520 has 960 divisors, whose sum is σ = 33472939737600. Its totient is φ = 3413324759040.

The previous prime is 10950364203479. The next prime is 10950364203521. The reversal of 10950364203520 is 2530246305901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10950364203521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046583415 + ... + 6046585225.

It is an arithmetic number, because the mean of its divisors is an integer number (34867645560).

Almost surely, 2^{10950364203520} is an apocalyptic number.

10950364203520 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 10950364203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736469868800).

10950364203520 is an abundant number, since it is smaller than the sum of its proper divisors (22522575534080).

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

10950364203520 is a wasteful number, since it uses less digits than its factorization.

10950364203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 10950364203520 in words is "ten trillion, nine hundred fifty billion, three hundred sixty-four million, two hundred three thousand, five hundred twenty".