11390072316960 has 768 divisors, whose sum is σ = 39295758458880. Its totient is φ = 2765596753920.

The previous prime is 11390072316949. The next prime is 11390072316979. The reversal of 11390072316960 is 6961327009311.

11390072316960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2999753782 + ... + 2999757578.

It is an arithmetic number, because the mean of its divisors is an integer number (51166352160).

Almost surely, 2^{11390072316960} is an apocalyptic number.

11390072316960 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 11390072316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647879229440).

11390072316960 is an abundant number, since it is smaller than the sum of its proper divisors (27905686141920).

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

11390072316960 is a wasteful number, since it uses less digits than its factorization.

11390072316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 11390072316960 in words is "eleven trillion, three hundred ninety billion, seventy-two million, three hundred sixteen thousand, nine hundred sixty".