5766261067400 has 48 divisors (see below), whose sum is σ = 14112165253200. Its totient is φ = 2185109455680.

The previous prime is 5766261067379. The next prime is 5766261067409. The reversal of 5766261067400 is 47601626675.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (5766261067409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758714762 + ... + 758722361.

It is an arithmetic number, because the mean of its divisors is an integer number (294003442775).

Almost surely, 2^{5766261067400} is an apocalyptic number.

5766261067400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5766261067400 is an abundant number, since it is smaller than the sum of its proper divisors (8345904185800).

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

5766261067400 is a wasteful number, since it uses less digits than its factorization.

5766261067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517437158 (or 1517437149 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 5766261067400 in words is "five trillion, seven hundred sixty-six billion, two hundred sixty-one million, sixty-seven thousand, four hundred".