1092542141600 has 1296 divisors, whose sum is σ = 3630244602600. Its totient is φ = 318823464960.

The previous prime is 1092542141597. The next prime is 1092542141653. The reversal of 1092542141600 is 61412452901.

It can be written as a sum of positive squares in 36 ways, for example, as 608131709584 + 484410432016 = 779828^2 + 695996^2 .

It is a super-3 number, since 3×1092542141600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 10023322346 + ... + 10023322454.

Almost surely, 2^{1092542141600} is an apocalyptic number.

1092542141600 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 1092542141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815122301300).

1092542141600 is an abundant number, since it is smaller than the sum of its proper divisors (2537702461000).

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

1092542141600 is a wasteful number, since it uses less digits than its factorization.

1092542141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 1092542141600 in words is "one trillion, ninety-two billion, five hundred forty-two million, one hundred forty-one thousand, six hundred".