85507144800 has 576 divisors, whose sum is σ = 348286708224. Its totient is φ = 17702092800.

The previous prime is 85507144717. The next prime is 85507144813. The reversal of 85507144800 is 844170558.

It is a super-2 number, since 2×85507144800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62276914 + ... + 62278286.

It is an arithmetic number, because the mean of its divisors is an integer number (604664424).

Almost surely, 2^85507144800 is an apocalyptic number.

85507144800 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 85507144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174143354112).

85507144800 is an abundant number, since it is smaller than the sum of its proper divisors (262779563424).

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

85507144800 is a wasteful number, since it uses less digits than its factorization.

85507144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 85507144800 in words is "eighty-five billion, five hundred seven million, one hundred forty-four thousand, eight hundred".