120552385536 has 616 divisors, whose sum is σ = 403048961424. Its totient is φ = 35712368640.

The previous prime is 120552385501. The next prime is 120552385559. The reversal of 120552385536 is 635583255021.

120552385536 is a `hidden beast` number, since 1 + 20 + 55 + 23 + 8 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120552385491 and 120552385500.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435207030 + ... + 435207306.

Almost surely, 2^120552385536 is an apocalyptic number.

120552385536 is a gapful number since it is divisible by the number (16) 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 120552385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201524480712).

120552385536 is an abundant number, since it is smaller than the sum of its proper divisors (282496575888).

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

120552385536 is an equidigital number, since it uses as much as digits as its factorization.

120552385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 120552385536 in words is "one hundred twenty billion, five hundred fifty-two million, three hundred eighty-five thousand, five hundred thirty-six".