5605308076032 has 1872 divisors, whose sum is σ = 21535667112960. Its totient is φ = 1445741789184.

The previous prime is 5605308076021. The next prime is 5605308076099. The reversal of 5605308076032 is 2306708035065.

5605308076032 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 30 + 8 + 0 + 7 + 603 + 2 = 666.

It is a super-2 number, since 2×5605308076032² (a number of 26 digits) contains 22 as substring.

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, 21312958333 + ... + 21312958595.

It is an arithmetic number, because the mean of its divisors is an integer number (11504095680).

Almost surely, 2^{5605308076032} 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 5605308076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767833556480).

5605308076032 is an abundant number, since it is smaller than the sum of its proper divisors (15930359036928).

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

5605308076032 is a wasteful number, since it uses less digits than its factorization.

5605308076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5605308076032 in words is "five trillion, six hundred five billion, three hundred eight million, seventy-six thousand, thirty-two".