1135161736800 has 1152 divisors, whose sum is σ = 4663031546880. Its totient is φ = 233503948800.

The previous prime is 1135161736799. The next prime is 1135161736879. The reversal of 1135161736800 is 86371615311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1851813294 + ... + 1851813906.

It is an arithmetic number, because the mean of its divisors is an integer number (4047770440).

Almost surely, 2^{1135161736800} is an apocalyptic number.

1135161736800 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 1135161736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331515773440).

1135161736800 is an abundant number, since it is smaller than the sum of its proper divisors (3527869810080).

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

1135161736800 is a wasteful number, since it uses less digits than its factorization.

1135161736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1135161736800 in words is "one trillion, one hundred thirty-five billion, one hundred sixty-one million, seven hundred thirty-six thousand, eight hundred".