89596778400 has 288 divisors, whose sum is σ = 324441734400. Its totient is φ = 23862988800.

The previous prime is 89596778377. The next prime is 89596778413. The reversal of 89596778400 is 487769598.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 21792345 + ... + 21796455.

It is an arithmetic number, because the mean of its divisors is an integer number (1126533800).

Almost surely, 2^89596778400 is an apocalyptic number.

89596778400 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 89596778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162220867200).

89596778400 is an abundant number, since it is smaller than the sum of its proper divisors (234844956000).

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

89596778400 is a wasteful number, since it uses less digits than its factorization.

89596778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 89596778400 in words is "eighty-nine billion, five hundred ninety-six million, seven hundred seventy-eight thousand, four hundred".