68201253120 has 864 divisors, whose sum is σ = 294852854016. Its totient is φ = 13073448960.

The previous prime is 68201253101. The next prime is 68201253139. The reversal of 68201253120 is 2135210286.

It is an interprime number because it is at equal distance from previous prime (68201253101) and next prime (68201253139).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 42281434 + ... + 42283046.

Almost surely, 2^68201253120 is an apocalyptic number.

68201253120 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 68201253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147426427008).

68201253120 is an abundant number, since it is smaller than the sum of its proper divisors (226651600896).

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

68201253120 is a wasteful number, since it uses less digits than its factorization.

68201253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 68201253120 in words is "sixty-eight billion, two hundred one million, two hundred fifty-three thousand, one hundred twenty".