5787500544000 has 2160 divisors, whose sum is σ = 25384323804840. Its totient is φ = 1307993702400.

The previous prime is 5787500543983. The next prime is 5787500544037. The reversal of 5787500544000 is 4450057875.

5787500544000 is a `hidden beast` number, since 57 + 8 + 7 + 50 + 0 + 544 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 905451208704 + 4882049335296 = 951552^2 + 2209536^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65028095956 + ... + 65028096044.

Almost surely, 2^{5787500544000} is an apocalyptic number.

5787500544000 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 5787500544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692161902420).

5787500544000 is an abundant number, since it is smaller than the sum of its proper divisors (19596823260840).

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

5787500544000 is an frugal number, since it uses more digits than its factorization.

5787500544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 5787500544000 in words is "five trillion, seven hundred eighty-seven billion, five hundred million, five hundred forty-four thousand".