85307904000 has 1560 divisors, whose sum is σ = 370144278504. Its totient is φ = 19464192000.

The previous prime is 85307903987. The next prime is 85307904023. The reversal of 85307904000 is 40970358.

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 84946599936 = 19008^2 + 291456^2 .

It is a super-4 number, since 4×85307904000⁴ (a number of 45 digits) contains 4444 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5018111992 + ... + 5018112008.

Almost surely, 2^85307904000 is an apocalyptic number.

85307904000 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 85307904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185072139252).

85307904000 is an abundant number, since it is smaller than the sum of its proper divisors (284836374504).

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

85307904000 is a wasteful number, since it uses less digits than its factorization.

85307904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 85307904000 in words is "eighty-five billion, three hundred seven million, nine hundred four thousand".