1136788841760 has 384 divisors, whose sum is σ = 4218470129664. Its totient is φ = 253687541760.

The previous prime is 1136788841729. The next prime is 1136788841779. The reversal of 1136788841760 is 671488876311.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1136788841694 and 1136788841703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25168317 + ... + 25213443.

It is an arithmetic number, because the mean of its divisors is an integer number (10985599296).

Almost surely, 2^{1136788841760} is an apocalyptic number.

1136788841760 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 1136788841760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109235064832).

1136788841760 is an abundant number, since it is smaller than the sum of its proper divisors (3081681287904).

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

1136788841760 is a wasteful number, since it uses less digits than its factorization.

1136788841760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45536 (or 45528 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 1136788841760 in words is "one trillion, one hundred thirty-six billion, seven hundred eighty-eight million, eight hundred forty-one thousand, seven hundred sixty".