85740607400000 has 336 divisors, whose sum is σ = 243622731147264. Its totient is φ = 29326752000000.

The previous prime is 85740607399961. The next prime is 85740607400017. The reversal of 85740607400000 is 470604758.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589327265 + ... + 589472735.

It is an arithmetic number, because the mean of its divisors is an integer number (725067652224).

Almost surely, 2^{85740607400000} is an apocalyptic number.

85740607400000 is a gapful number since it is divisible by the number (80) 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 85740607400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121811365573632).

85740607400000 is an abundant number, since it is smaller than the sum of its proper divisors (157882123747264).

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

85740607400000 is an equidigital number, since it uses as much as digits as its factorization.

85740607400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145936 (or 145906 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 85740607400000 in words is "eighty-five trillion, seven hundred forty billion, six hundred seven million, four hundred thousand".