85486064400 has 405 divisors, whose sum is σ = 326818991317. Its totient is φ = 20677113600.

The previous prime is 85486064381. The next prime is 85486064437. The reversal of 85486064400 is 446068458.

The square root of 85486064400 is 292380.

It is a perfect power (a square), and thus also a powerful number.

85486064400 is a `hidden beast` number, since 8 + 548 + 6 + 0 + 64 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30774983184 + 54711081216 = 175428^2 + 233904^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 192970579 + ... + 192971021.

Almost surely, 2^85486064400 is an apocalyptic number.

85486064400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85486064400 is the 292380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85486064400

85486064400 is an abundant number, since it is smaller than the sum of its proper divisors (241332926917).

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

85486064400 is a wasteful number, since it uses less digits than its factorization.

85486064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 85486064400 in words is "eighty-five billion, four hundred eighty-six million, sixty-four thousand, four hundred".