10942505496000 has 1344 divisors, whose sum is σ = 43851468076416. Its totient is φ = 2587189248000.

The previous prime is 10942505495959. The next prime is 10942505496001. The reversal of 10942505496000 is 69450524901.

10942505496000 is a `hidden beast` number, since 1 + 0 + 9 + 42 + 5 + 0 + 549 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10942505496001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2455125772 + ... + 2455130228.

It is an arithmetic number, because the mean of its divisors is an integer number (32627580414).

Almost surely, 2^{10942505496000} is an apocalyptic number.

10942505496000 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 10942505496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925734038208).

10942505496000 is an abundant number, since it is smaller than the sum of its proper divisors (32908962580416).

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

10942505496000 is a wasteful number, since it uses less digits than its factorization.

10942505496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10942505496000 in words is "ten trillion, nine hundred forty-two billion, five hundred five million, four hundred ninety-six thousand".