120406858579584 has 768 divisors, whose sum is σ = 387326657952000. Its totient is φ = 35730242076672.

The previous prime is 120406858579577. The next prime is 120406858579591. The reversal of 120406858579584 is 485975858604021.

120406858579584 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 6 + 8 + 5 + 8 + 579 + 5 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (120406858579577) and next prime (120406858579591).

It is a super-2 number, since 2×120406858579584² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7034334994 + ... + 7034352110.

It is an arithmetic number, because the mean of its divisors is an integer number (504331585875).

Almost surely, 2^{120406858579584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120406858579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193663328976000).

120406858579584 is an abundant number, since it is smaller than the sum of its proper divisors (266919799372416).

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

120406858579584 is a wasteful number, since it uses less digits than its factorization.

120406858579584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17425 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 120406858579584 in words is "one hundred twenty trillion, four hundred six billion, eight hundred fifty-eight million, five hundred seventy-nine thousand, five hundred eighty-four".