5965619832480 has 864 divisors, whose sum is σ = 24162398003520. Its totient is φ = 1223273103360.

The previous prime is 5965619832457. The next prime is 5965619832481. The reversal of 5965619832480 is 842389165695.

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 (5965619832481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11720274466 + ... + 11720274974.

It is an arithmetic number, because the mean of its divisors is an integer number (27965738430).

Almost surely, 2^{5965619832480} 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 5965619832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081199001760).

5965619832480 is an abundant number, since it is smaller than the sum of its proper divisors (18196778171040).

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

5965619832480 is a wasteful number, since it uses less digits than its factorization.

5965619832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 5965619832480 in words is "five trillion, nine hundred sixty-five billion, six hundred nineteen million, eight hundred thirty-two thousand, four hundred eighty".