5950851829440 has 896 divisors, whose sum is σ = 22611622625280. Its totient is φ = 1297432166400.

The previous prime is 5950851829393. The next prime is 5950851829453. The reversal of 5950851829440 is 449281580595.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5771921725 + ... + 5771922755.

Almost surely, 2^{5950851829440} 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 5950851829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305811312640).

5950851829440 is an abundant number, since it is smaller than the sum of its proper divisors (16660770795840).

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

5950851829440 is a wasteful number, since it uses less digits than its factorization.

5950851829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 60.

The spelling of 5950851829440 in words is "five trillion, nine hundred fifty billion, eight hundred fifty-one million, eight hundred twenty-nine thousand, four hundred forty".