4859829291000 has 384 divisors, whose sum is σ = 16024967899200. Its totient is φ = 1226038809600.

The previous prime is 4859829290963. The next prime is 4859829291001. The reversal of 4859829291000 is 1929289584.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859829291001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897804294 + ... + 897809706.

Almost surely, 2^{4859829291000} is an apocalyptic number.

4859829291000 is a gapful number since it is divisible by the number (40) 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 4859829291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012483949600).

4859829291000 is an abundant number, since it is smaller than the sum of its proper divisors (11165138608200).

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

4859829291000 is a wasteful number, since it uses less digits than its factorization.

4859829291000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 4859829291000 in words is "four trillion, eight hundred fifty-nine billion, eight hundred twenty-nine million, two hundred ninety-one thousand".