85293032400 has 450 divisors, whose sum is σ = 325211212370. Its totient is φ = 21404528640.

The previous prime is 85293032387. The next prime is 85293032471. The reversal of 85293032400 is 423039258.

It can be written as a sum of positive squares in 9 ways, for example, as 16852193856 + 68440838544 = 129816^2 + 261612^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9359046 + ... + 9368154.

Almost surely, 2^85293032400 is an apocalyptic number.

85293032400 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 85293032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162605606185).

85293032400 is an abundant number, since it is smaller than the sum of its proper divisors (239918179970).

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

85293032400 is a wasteful number, since it uses less digits than its factorization.

85293032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 85293032400 in words is "eighty-five billion, two hundred ninety-three million, thirty-two thousand, four hundred".