6538850841600 has 4752 divisors, whose sum is σ = 32736087506304. Its totient is φ = 1261279641600.

The previous prime is 6538850841587. The next prime is 6538850841613. The reversal of 6538850841600 is 61480588356.

6538850841600 is a `hidden beast` number, since 6 + 5 + 38 + 8 + 508 + 41 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6538850841587) and next prime (6538850841613).

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 89573299164 + ... + 89573299236.

Almost surely, 2^{6538850841600} is an apocalyptic number.

6538850841600 is a gapful number since it is divisible by the number (60) 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 6538850841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368043753152).

6538850841600 is an abundant number, since it is smaller than the sum of its proper divisors (26197236664704).

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

6538850841600 is a wasteful number, since it uses less digits than its factorization.

6538850841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 6538850841600 in words is "six trillion, five hundred thirty-eight billion, eight hundred fifty million, eight hundred forty-one thousand, six hundred".