6098251200 has 168 divisors, whose sum is σ = 20548683312. Its totient is φ = 1582202880.

The previous prime is 6098251183. The next prime is 6098251259. The reversal of 6098251200 is 21528906.

It is a super-4 number, since 4×6098251200⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160432 + ... + 194768.

Almost surely, 2^6098251200 is an apocalyptic number.

6098251200 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 6098251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274341656).

6098251200 is an abundant number, since it is smaller than the sum of its proper divisors (14450432112).

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

6098251200 is a wasteful number, since it uses less digits than its factorization.

6098251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34399 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 6098251200 is about 78091.3004117616. The cubic root of 6098251200 is about 1826.9855115602.

The spelling of 6098251200 in words is "six billion, ninety-eight million, two hundred fifty-one thousand, two hundred".