11785579654320 has 640 divisors, whose sum is σ = 41988946821120. Its totient is φ = 3037017784320.

The previous prime is 11785579654309. The next prime is 11785579654351. The reversal of 11785579654320 is 2345697558711.

11785579654320 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 5 + 579 + 6 + 54 + 3 + 2 + 0 = 666.

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, 2252162424 + ... + 2252167656.

It is an arithmetic number, because the mean of its divisors is an integer number (65607729408).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11785579654320 = 23571159308640, but 3⋅11785579654320 = 35356738962960 is not.

Almost surely, 2^{11785579654320} is an apocalyptic number.

11785579654320 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 11785579654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994473410560).

11785579654320 is an abundant number, since it is smaller than the sum of its proper divisors (30203367166800).

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

11785579654320 is a wasteful number, since it uses less digits than its factorization.

11785579654320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 11785579654320 in words is "eleven trillion, seven hundred eighty-five billion, five hundred seventy-nine million, six hundred fifty-four thousand, three hundred twenty".