89747819078400 has 2592 divisors, whose sum is σ = 404134253752320. Its totient is φ = 19236425564160.

The previous prime is 89747819078387. The next prime is 89747819078431. The reversal of 89747819078400 is 487091874798.

89747819078400 is a `hidden beast` number, since 8 + 9 + 74 + 7 + 81 + 9 + 0 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 62368184881 + ... + 62368186319.

It is an arithmetic number, because the mean of its divisors is an integer number (155915992960).

Almost surely, 2^{89747819078400} is an apocalyptic number.

89747819078400 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 89747819078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202067126876160).

89747819078400 is an abundant number, since it is smaller than the sum of its proper divisors (314386434673920).

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

89747819078400 is a wasteful number, since it uses less digits than its factorization.

89747819078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 89747819078400 in words is "eighty-nine trillion, seven hundred forty-seven billion, eight hundred nineteen million, seventy-eight thousand, four hundred".