5781677958144 has 1155 divisors, whose sum is σ = 19926171555115. Its totient is φ = 1675848683520.

The previous prime is 5781677958139. The next prime is 5781677958163. The reversal of 5781677958144 is 4418597761875.

The square root of 5781677958144 is 2404512.

It is a perfect power (a square), and thus also a powerful number.

5781677958144 is a `hidden beast` number, since 578 + 1 + 6 + 7 + 7 + 9 + 5 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (474163200) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 251377302517 + ... + 251377302539.

Almost surely, 2^{5781677958144} is an apocalyptic number.

5781677958144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5781677958144 is the 2404512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5781677958144

5781677958144 is an abundant number, since it is smaller than the sum of its proper divisors (14144493596971).

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

5781677958144 is an frugal number, since it uses more digits than its factorization.

5781677958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 39 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 5781677958144 in words is "five trillion, seven hundred eighty-one billion, six hundred seventy-seven million, nine hundred fifty-eight thousand, one hundred forty-four".