1201584093696 has 480 divisors, whose sum is σ = 4104082464768. Its totient is φ = 331182120960.

The previous prime is 1201584093683. The next prime is 1201584093751. The reversal of 1201584093696 is 6963904851021.

1201584093696 is a `hidden beast` number, since 1 + 20 + 1 + 584 + 0 + 9 + 36 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346976061 + ... + 346979523.

Almost surely, 2^{1201584093696} is an apocalyptic number.

1201584093696 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 1201584093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052041232384).

1201584093696 is an abundant number, since it is smaller than the sum of its proper divisors (2902498371072).

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

1201584093696 is a wasteful number, since it uses less digits than its factorization.

1201584093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1201584093696 in words is "one trillion, two hundred one billion, five hundred eighty-four million, ninety-three thousand, six hundred ninety-six".