11579421289920 has 896 divisors, whose sum is σ = 41842278024192. Its totient is φ = 2688417792000.

The previous prime is 11579421289871. The next prime is 11579421289937. The reversal of 11579421289920 is 2998212497511.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 7232617120 + ... + 7232618720.

Almost surely, 2^{11579421289920} is an apocalyptic number.

11579421289920 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 11579421289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921139012096).

11579421289920 is an abundant number, since it is smaller than the sum of its proper divisors (30262856734272).

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

11579421289920 is a wasteful number, since it uses less digits than its factorization.

11579421289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 11579421289920 in words is "eleven trillion, five hundred seventy-nine billion, four hundred twenty-one million, two hundred eighty-nine thousand, nine hundred twenty".