5760779545500 has 288 divisors, whose sum is σ = 19703713655808. Its totient is φ = 1303963920000.

The previous prime is 5760779545439. The next prime is 5760779545529. The reversal of 5760779545500 is 55459770675.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7190025 + ... + 7950975.

It is an arithmetic number, because the mean of its divisors is an integer number (68415672416).

Almost surely, 2^{5760779545500} is an apocalyptic number.

5760779545500 is a gapful number since it is divisible by the number (50) 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 5760779545500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9851856827904).

5760779545500 is an abundant number, since it is smaller than the sum of its proper divisors (13942934110308).

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

5760779545500 is a wasteful number, since it uses less digits than its factorization.

5760779545500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761090 (or 761071 counting only the distinct ones).

The product of its (nonzero) digits is 46305000, while the sum is 60.

The spelling of 5760779545500 in words is "five trillion, seven hundred sixty billion, seven hundred seventy-nine million, five hundred forty-five thousand, five hundred".