5667701130000 has 2400 divisors, whose sum is σ = 25803890112000. Its totient is φ = 1152216576000.

The previous prime is 5667701129969. The next prime is 5667701130001. The reversal of 5667701130000 is 311077665.

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

It is not an unprimeable number, because it can be changed into a prime (5667701130001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11637989757 + ... + 11637990243.

It is an arithmetic number, because the mean of its divisors is an integer number (10751620880).

Almost surely, 2^{5667701130000} is an apocalyptic number.

5667701130000 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 5667701130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901945056000).

5667701130000 is an abundant number, since it is smaller than the sum of its proper divisors (20136188982000).

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

5667701130000 is a wasteful number, since it uses less digits than its factorization.

5667701130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 5667701130000 in words is "five trillion, six hundred sixty-seven billion, seven hundred one million, one hundred thirty thousand".