5868248100 has 288 divisors, whose sum is σ = 20491771776. Its totient is φ = 1277337600.

The previous prime is 5868248081. The next prime is 5868248119. The reversal of 5868248100 is 18428685.

It is an interprime number because it is at equal distance from previous prime (5868248081) and next prime (5868248119).

It is a super-2 number, since 2×5868248100² = 68872671526307220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585452 + ... + 1589148.

Almost surely, 2^5868248100 is an apocalyptic number.

5868248100 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 5868248100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245885888).

5868248100 is an abundant number, since it is smaller than the sum of its proper divisors (14623523676).

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

5868248100 is a wasteful number, since it uses less digits than its factorization.

5868248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 5868248100 is about 76604.4913826859. The cubic root of 5868248100 is about 1803.7215287721.

The spelling of 5868248100 in words is "five billion, eight hundred sixty-eight million, two hundred forty-eight thousand, one hundred".