68865872100 has 144 divisors (see below), whose sum is σ = 203740293120. Its totient is φ = 17955100800.

The previous prime is 68865872093. The next prime is 68865872107. The reversal of 68865872100 is 127856886.

It is an interprime number because it is at equal distance from previous prime (68865872093) and next prime (68865872107).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68865872107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426995 + ... + 2455205.

Almost surely, 2^68865872100 is an apocalyptic number.

68865872100 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 68865872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101870146560).

68865872100 is an abundant number, since it is smaller than the sum of its proper divisors (134874421020).

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

68865872100 is a wasteful number, since it uses less digits than its factorization.

68865872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28410 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 68865872100 in words is "sixty-eight billion, eight hundred sixty-five million, eight hundred seventy-two thousand, one hundred".