11256735140000 has 120 divisors (see below), whose sum is σ = 31649436913248. Its totient is φ = 3859452000000.

The previous prime is 11256735139963. The next prime is 11256735140033. The reversal of 11256735140000 is 4153765211.

It is a happy number.

It is a super-2 number, since 2×11256735140000² (a number of 27 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40062626 + ... + 40342625.

Almost surely, 2^{11256735140000} is an apocalyptic number.

11256735140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256735140000 is an abundant number, since it is smaller than the sum of its proper divisors (20392701773248).

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

11256735140000 is an frugal number, since it uses more digits than its factorization.

11256735140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80405288 (or 80405265 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 11256735140000 in words is "eleven trillion, two hundred fifty-six billion, seven hundred thirty-five million, one hundred forty thousand".