5682130707600 has 720 divisors, whose sum is σ = 21809568598272. Its totient is φ = 1362639421440.

The previous prime is 5682130707593. The next prime is 5682130707637. The reversal of 5682130707600 is 67070312865.

5682130707600 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 1 + 30 + 7 + 0 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1924187724 + ... + 1924190676.

Almost surely, 2^{5682130707600} is an apocalyptic number.

5682130707600 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 5682130707600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904784299136).

5682130707600 is an abundant number, since it is smaller than the sum of its proper divisors (16127437890672).

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

5682130707600 is a wasteful number, since it uses less digits than its factorization.

5682130707600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5682130707600 in words is "five trillion, six hundred eighty-two billion, one hundred thirty million, seven hundred seven thousand, six hundred".