85283078400 has 486 divisors, whose sum is σ = 330202445118. Its totient is φ = 20990361600.

The previous prime is 85283078371. The next prime is 85283078429. The reversal of 85283078400 is 487038258.

It is an interprime number because it is at equal distance from previous prime (85283078371) and next prime (85283078429).

It can be written as a sum of positive squares in 9 ways, for example, as 72537571584 + 12745506816 = 269328^2 + 112896^2 .

It is a super-2 number, since 2×85283078400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9730020 + ... + 9738780.

Almost surely, 2^85283078400 is an apocalyptic number.

85283078400 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 85283078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165101222559).

85283078400 is an abundant number, since it is smaller than the sum of its proper divisors (244919366718).

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

85283078400 is a wasteful number, since it uses less digits than its factorization.

85283078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 85283078400 in words is "eighty-five billion, two hundred eighty-three million, seventy-eight thousand, four hundred".