10975245590400 has 1152 divisors, whose sum is σ = 45947269900800. Its totient is φ = 2252984647680.

The previous prime is 10975245590357. The next prime is 10975245590461. The reversal of 10975245590400 is 409554257901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 420188541 + ... + 420214659.

It is an arithmetic number, because the mean of its divisors is an integer number (39884782900).

Almost surely, 2^{10975245590400} is an apocalyptic number.

10975245590400 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 10975245590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973634950400).

10975245590400 is an abundant number, since it is smaller than the sum of its proper divisors (34972024310400).

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

10975245590400 is a wasteful number, since it uses less digits than its factorization.

10975245590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26216 (or 26186 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

It can be divided in two parts, 10975245 and 590400, that added together give a triangular number (11565645 = T₄₈₀₉).

The spelling of 10975245590400 in words is "ten trillion, nine hundred seventy-five billion, two hundred forty-five million, five hundred ninety thousand, four hundred".