5765256000 has 1120 divisors, whose sum is σ = 25775253504. Its totient is φ = 1244160000.

The previous prime is 5765255981. The next prime is 5765256011. The reversal of 5765256000 is 6525675.

5765256000 is a `hidden beast` number, since 5 + 76 + 525 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140615980 + ... + 140616020.

Almost surely, 2^5765256000 is an apocalyptic number.

5765256000 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 5765256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887626752).

5765256000 is an abundant number, since it is smaller than the sum of its proper divisors (20009997504).

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

5765256000 is a wasteful number, since it uses less digits than its factorization.

5765256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5765256000 is about 75929.2828887512. The cubic root of 5765256000 is about 1793.1069704413.

The spelling of 5765256000 in words is "five billion, seven hundred sixty-five million, two hundred fifty-six thousand".