85187942400 has 576 divisors, whose sum is σ = 310420131840. Its totient is φ = 20437401600.

The previous prime is 85187942387. The next prime is 85187942449. The reversal of 85187942400 is 424978158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85187942400.

It is a congruent number.

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, 214579002 + ... + 214579398.

It is an arithmetic number, because the mean of its divisors is an integer number (538923840).

Almost surely, 2^85187942400 is an apocalyptic number.

85187942400 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 85187942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155210065920).

85187942400 is an abundant number, since it is smaller than the sum of its proper divisors (225232189440).

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

85187942400 is a wasteful number, since it uses less digits than its factorization.

85187942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 85187942400 in words is "eighty-five billion, one hundred eighty-seven million, nine hundred forty-two thousand, four hundred".