120960382536 has 576 divisors, whose sum is σ = 411029498880. Its totient is φ = 32626540800.

The previous prime is 120960382507. The next prime is 120960382547. The reversal of 120960382536 is 635283069021.

120960382536 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 603 + 8 + 2 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120960382491 and 120960382500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 801062061 + ... + 801062211.

It is an arithmetic number, because the mean of its divisors is an integer number (713592880).

Almost surely, 2^120960382536 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 120960382536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205514749440).

120960382536 is an abundant number, since it is smaller than the sum of its proper divisors (290069116344).

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

120960382536 is a wasteful number, since it uses less digits than its factorization.

120960382536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 120960382536 in words is "one hundred twenty billion, nine hundred sixty million, three hundred eighty-two thousand, five hundred thirty-six".