85523558400 has 936 divisors, whose sum is σ = 363793632384. Its totient is φ = 19508428800.

The previous prime is 85523558389. The next prime is 85523558441. The reversal of 85523558400 is 485532558.

85523558400 is a `hidden beast` number, since 8 + 5 + 5 + 235 + 5 + 8 + 400 = 666.

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

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, 174182155 + ... + 174182645.

Almost surely, 2^85523558400 is an apocalyptic number.

85523558400 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 85523558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181896816192).

85523558400 is an abundant number, since it is smaller than the sum of its proper divisors (278270073984).

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

85523558400 is an equidigital number, since it uses as much as digits as its factorization.

85523558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 85523558400 in words is "eighty-five billion, five hundred twenty-three million, five hundred fifty-eight thousand, four hundred".