10545022051200 has 1152 divisors, whose sum is σ = 46520469166080. Its totient is φ = 2214783959040.

The previous prime is 10545022051159. The next prime is 10545022051217. The reversal of 10545022051200 is 215022054501.

10545022051200 is a `hidden beast` number, since 1 + 0 + 5 + 450 + 2 + 2 + 0 + 5 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10545022051200² (a number of 27 digits) contains 22 as substring.

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, 584429379 + ... + 584447421.

Almost surely, 2^{10545022051200} is an apocalyptic number.

10545022051200 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 10545022051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260234583040).

10545022051200 is an abundant number, since it is smaller than the sum of its proper divisors (35975447114880).

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

10545022051200 is a wasteful number, since it uses less digits than its factorization.

10545022051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10545022051200 in words is "ten trillion, five hundred forty-five billion, twenty-two million, fifty-one thousand, two hundred".