11364596770560 has 576 divisors, whose sum is σ = 40128729467904. Its totient is φ = 2740825866240.

The previous prime is 11364596770559. The next prime is 11364596770577. The reversal of 11364596770560 is 6507769546311.

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 = 11364596770494 and 11364596770503.

It is a congruent number.

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, 1006869237 + ... + 1006880523.

It is an arithmetic number, because the mean of its divisors is an integer number (69667933104).

Almost surely, 2^{11364596770560} is an apocalyptic number.

11364596770560 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 11364596770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20064364733952).

11364596770560 is an abundant number, since it is smaller than the sum of its proper divisors (28764132697344).

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

11364596770560 is a wasteful number, since it uses less digits than its factorization.

11364596770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11541 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 11364596770560 in words is "eleven trillion, three hundred sixty-four billion, five hundred ninety-six million, seven hundred seventy thousand, five hundred sixty".