68139128400 has 720 divisors, whose sum is σ = 269700452352. Its totient is φ = 14377651200.

The previous prime is 68139128389. The next prime is 68139128417. The reversal of 68139128400 is 482193186.

It is a super-2 number, since 2×68139128400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 185665017 + ... + 185665383.

Almost surely, 2^68139128400 is an apocalyptic number.

68139128400 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 68139128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134850226176).

68139128400 is an abundant number, since it is smaller than the sum of its proper divisors (201561323952).

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

68139128400 is a wasteful number, since it uses less digits than its factorization.

68139128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 68139128400 in words is "sixty-eight billion, one hundred thirty-nine million, one hundred twenty-eight thousand, four hundred".