5985780632832 has 576 divisors, whose sum is σ = 21501108228096. Its totient is φ = 1427680788480.

The previous prime is 5985780632831. The next prime is 5985780632837. The reversal of 5985780632832 is 2382360875895.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985780632831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148352053 + ... + 148392395.

It is an arithmetic number, because the mean of its divisors is an integer number (37328312896).

Almost surely, 2^{5985780632832} is an apocalyptic number.

5985780632832 is a gapful number since it is divisible by the number (52) 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 5985780632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750554114048).

5985780632832 is an abundant number, since it is smaller than the sum of its proper divisors (15515327595264).

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

5985780632832 is a wasteful number, since it uses less digits than its factorization.

5985780632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40586 (or 40572 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 5985780632832 in words is "five trillion, nine hundred eighty-five billion, seven hundred eighty million, six hundred thirty-two thousand, eight hundred thirty-two".