5730516249600 has 528 divisors, whose sum is σ = 19956972672000. Its totient is φ = 1446221905920.

The previous prime is 5730516249547. The next prime is 5730516249677. The reversal of 5730516249600 is 69426150375.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5730516249600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388709201 + ... + 2388711599.

Almost surely, 2^{5730516249600} is an apocalyptic number.

5730516249600 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 5730516249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336000).

5730516249600 is an abundant number, since it is smaller than the sum of its proper divisors (14226456422400).

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

5730516249600 is a wasteful number, since it uses less digits than its factorization.

5730516249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 5730516249600 in words is "five trillion, seven hundred thirty billion, five hundred sixteen million, two hundred forty-nine thousand, six hundred".