139435968028000 has 384 divisors, whose sum is σ = 406644384706560. Its totient is φ = 45996388300800.

The previous prime is 139435968027997. The next prime is 139435968028003. The reversal of 139435968028000 is 820869534931.

It is an interprime number because it is at equal distance from previous prime (139435968027997) and next prime (139435968028003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139435968028003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76746082 + ... + 78541918.

It is an arithmetic number, because the mean of its divisors is an integer number (1058969751840).

Almost surely, 2^{139435968028000} is an apocalyptic number.

139435968028000 is a gapful number since it is divisible by the number (10) 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 139435968028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203322192353280).

139435968028000 is an abundant number, since it is smaller than the sum of its proper divisors (267208416678560).

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

139435968028000 is a wasteful number, since it uses less digits than its factorization.

139435968028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795975 (or 1795957 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 139435968028000 in words is "one hundred thirty-nine trillion, four hundred thirty-five billion, nine hundred sixty-eight million, twenty-eight thousand".