11859970129920 has 2304 divisors, whose sum is σ = 50149751745600. Its totient is φ = 2660153425920.

The previous prime is 11859970129913. The next prime is 11859970129927. The reversal of 11859970129920 is 2992107995811.

11859970129920 is a `hidden beast` number, since 1 + 1 + 8 + 599 + 7 + 0 + 12 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11859970129913) and next prime (11859970129927).

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (11859970129927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201016442851 + ... + 201016442909.

Almost surely, 2^{11859970129920} is an apocalyptic number.

11859970129920 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 11859970129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25074875872800).

11859970129920 is an abundant number, since it is smaller than the sum of its proper divisors (38289781615680).

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

11859970129920 is an frugal number, since it uses more digits than its factorization.

11859970129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 63.

The spelling of 11859970129920 in words is "eleven trillion, eight hundred fifty-nine billion, nine hundred seventy million, one hundred twenty-nine thousand, nine hundred twenty".