85196966400 has 2160 divisors, whose sum is σ = 405316495584. Its totient is φ = 17557585920.

The previous prime is 85196966389. The next prime is 85196966401. The reversal of 85196966400 is 466969158.

It is a happy number.

85196966400 is a `hidden beast` number, since 8 + 519 + 69 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85196966401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1981324779 + ... + 1981324821.

Almost surely, 2^85196966400 is an apocalyptic number.

85196966400 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 85196966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202658247792).

85196966400 is an abundant number, since it is smaller than the sum of its proper divisors (320119529184).

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

85196966400 is a wasteful number, since it uses less digits than its factorization.

85196966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 85196966400 in words is "eighty-five billion, one hundred ninety-six million, nine hundred sixty-six thousand, four hundred".