1126165035792 has 80 divisors (see below), whose sum is σ = 2954797488000. Its totient is φ = 369549345792.

The previous prime is 1126165035781. The next prime is 1126165035841. The reversal of 1126165035792 is 2975305616211.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 402709 + ... + 1553867.

It is an arithmetic number, because the mean of its divisors is an integer number (36934968600).

Almost surely, 2^{1126165035792} is an apocalyptic number.

1126165035792 is a gapful number since it is divisible by the number (12) 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 1126165035792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477398744000).

1126165035792 is an abundant number, since it is smaller than the sum of its proper divisors (1828632452208).

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

1126165035792 is a wasteful number, since it uses less digits than its factorization.

1126165035792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151488 (or 1151482 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 1126165035792 in words is "one trillion, one hundred twenty-six billion, one hundred sixty-five million, thirty-five thousand, seven hundred ninety-two".