5780129727600 has 480 divisors, whose sum is σ = 20839966156800. Its totient is φ = 1521399398400.

The previous prime is 5780129727587. The next prime is 5780129727613. The reversal of 5780129727600 is 67279210875.

It is a happy number.

5780129727600 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 1 + 2 + 9 + 7 + 27 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5780129727587) and next prime (5780129727613).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1289917360 + ... + 1289921840.

It is an arithmetic number, because the mean of its divisors is an integer number (43416596160).

Almost surely, 2^{5780129727600} is an apocalyptic number.

5780129727600 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 5780129727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419983078400).

5780129727600 is an abundant number, since it is smaller than the sum of its proper divisors (15059836429200).

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

5780129727600 is a wasteful number, since it uses less digits than its factorization.

5780129727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6030 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 5780129727600 in words is "five trillion, seven hundred eighty billion, one hundred twenty-nine million, seven hundred twenty-seven thousand, six hundred".