5780261665152 has 256 divisors, whose sum is σ = 18453059251200. Its totient is φ = 1770703939584.

The previous prime is 5780261665111. The next prime is 5780261665201. The reversal of 5780261665152 is 2515661620875.

5780261665152 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 2 + 61 + 66 + 515 + 2 = 666.

It is a super-2 number, since 2×5780261665152² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9915273 + ... + 10482039.

It is an arithmetic number, because the mean of its divisors is an integer number (72082262700).

Almost surely, 2^{5780261665152} is an apocalyptic number.

5780261665152 is a gapful number since it is divisible by the number (52) 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 5780261665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226529625600).

5780261665152 is an abundant number, since it is smaller than the sum of its proper divisors (12672797586048).

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

5780261665152 is a wasteful number, since it uses less digits than its factorization.

5780261665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567030 (or 567012 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5780261665152 in words is "five trillion, seven hundred eighty billion, two hundred sixty-one million, six hundred sixty-five thousand, one hundred fifty-two".