85478400000 has 1008 divisors, whose sum is σ = 359379060768. Its totient is φ = 19169280000.

The previous prime is 85478399989. The next prime is 85478400011. The reversal of 85478400000 is 487458.

It is an interprime number because it is at equal distance from previous prime (85478399989) and next prime (85478400011).

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 1612799974 + ... + 1612800026.

It is an arithmetic number, because the mean of its divisors is an integer number (356526846).

Almost surely, 2^85478400000 is an apocalyptic number.

85478400000 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 85478400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179689530384).

85478400000 is an abundant number, since it is smaller than the sum of its proper divisors (273900660768).

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

85478400000 is an frugal number, since it uses more digits than its factorization.

85478400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 85478400000 its reverse (487458), we get a palindrome (85478887458).

The spelling of 85478400000 in words is "eighty-five billion, four hundred seventy-eight million, four hundred thousand".