85412351400 has 192 divisors, whose sum is σ = 271911168000. Its totient is φ = 22169871360.

The previous prime is 85412351399. The next prime is 85412351417. The reversal of 85412351400 is 415321458.

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 47 ways as a sum of consecutive naturals, for example, 4028026 + ... + 4049174.

It is an arithmetic number, because the mean of its divisors is an integer number (1416204000).

Almost surely, 2^85412351400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85412351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135955584000).

85412351400 is an abundant number, since it is smaller than the sum of its proper divisors (186498816600).

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

85412351400 is a wasteful number, since it uses less digits than its factorization.

85412351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348 (or 21339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 85412351400 its reverse (415321458), we get a palindrome (85827672858).

The spelling of 85412351400 in words is "eighty-five billion, four hundred twelve million, three hundred fifty-one thousand, four hundred".