89878118400 has 1260 divisors, whose sum is σ = 390805979872. Its totient is φ = 20065812480.

The previous prime is 89878118383. The next prime is 89878118413. The reversal of 89878118400 is 481187898.

It is a happy number.

89878118400 is a `hidden beast` number, since 89 + 87 + 81 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 2090188779 + ... + 2090188821.

Almost surely, 2^89878118400 is an apocalyptic number.

89878118400 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 89878118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195402989936).

89878118400 is an abundant number, since it is smaller than the sum of its proper divisors (300927861472).

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

89878118400 is an frugal number, since it uses more digits than its factorization.

89878118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 89878118400 in words is "eighty-nine billion, eight hundred seventy-eight million, one hundred eighteen thousand, four hundred".