5929141680 has 960 divisors, whose sum is σ = 27376247808. Its totient is φ = 1154580480.

The previous prime is 5929141679. The next prime is 5929141721. The reversal of 5929141680 is 861419295.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25446844 + ... + 25447076.

Almost surely, 2^5929141680 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 5929141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688123904).

5929141680 is an abundant number, since it is smaller than the sum of its proper divisors (21447106128).

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

5929141680 is a wasteful number, since it uses less digits than its factorization.

5929141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5929141680 is about 77000.9199945040. The cubic root of 5929141680 is about 1809.9390189359.

The spelling of 5929141680 in words is "five billion, nine hundred twenty-nine million, one hundred forty-one thousand, six hundred eighty".