5849630001600 has 2016 divisors, whose sum is σ = 25711282372608. Its totient is φ = 1137921945600.

The previous prime is 5849630001581. The next prime is 5849630001613. The reversal of 5849630001600 is 61000369485.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124460212777 + ... + 124460212823.

It is an arithmetic number, because the mean of its divisors is an integer number (12753612288).

Almost surely, 2^{5849630001600} is an apocalyptic number.

5849630001600 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 5849630001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855641186304).

5849630001600 is an abundant number, since it is smaller than the sum of its proper divisors (19861652371008).

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

5849630001600 is an equidigital number, since it uses as much as digits as its factorization.

5849630001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 5849630001600 in words is "five trillion, eight hundred forty-nine billion, six hundred thirty million, one thousand, six hundred".