12319355506320 has 1920 divisors, whose sum is σ = 48612728586240. Its totient is φ = 2884460544000.

The previous prime is 12319355506319. The next prime is 12319355506333. The reversal of 12319355506320 is 2360555391321.

12319355506320 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 3 + 5 + 5 + 5 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58385571015 + ... + 58385571225.

It is an arithmetic number, because the mean of its divisors is an integer number (25319129472).

Almost surely, 2^{12319355506320} is an apocalyptic number.

12319355506320 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 12319355506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306364293120).

12319355506320 is an abundant number, since it is smaller than the sum of its proper divisors (36293373079920).

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

12319355506320 is a wasteful number, since it uses less digits than its factorization.

12319355506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 12319355506320 in words is "twelve trillion, three hundred nineteen billion, three hundred fifty-five million, five hundred six thousand, three hundred twenty".