5787936000 has 1440 divisors, whose sum is σ = 27779431680. Its totient is φ = 1161216000.

The previous prime is 5787935983. The next prime is 5787936001. The reversal of 5787936000 is 6397875.

It is a happy number.

5787936000 is a `hidden beast` number, since 578 + 79 + 3 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5787936001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199583986 + ... + 199584014.

It is an arithmetic number, because the mean of its divisors is an integer number (19291272).

Almost surely, 2^5787936000 is an apocalyptic number.

5787936000 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 5787936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889715840).

5787936000 is an abundant number, since it is smaller than the sum of its proper divisors (21991495680).

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

5787936000 is a wasteful number, since it uses less digits than its factorization.

5787936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5787936000 is about 76078.4857893478. The cubic root of 5787936000 is about 1795.4552012156.

The spelling of 5787936000 in words is "five billion, seven hundred eighty-seven million, nine hundred thirty-six thousand".