89678016414720 has 1232 divisors, whose sum is σ = 342527825288448. Its totient is φ = 22440266956800.

The previous prime is 89678016414713. The next prime is 89678016414773. The reversal of 89678016414720 is 2741461087698.

89678016414720 is a `hidden beast` number, since 8 + 9 + 67 + 80 + 16 + 414 + 72 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23286940795 + ... + 23286944645.

Almost surely, 2^{89678016414720} is an apocalyptic number.

89678016414720 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 89678016414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171263912644224).

89678016414720 is an abundant number, since it is smaller than the sum of its proper divisors (252849808873728).

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

89678016414720 is a wasteful number, since it uses less digits than its factorization.

89678016414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 89678016414720 in words is "eighty-nine trillion, six hundred seventy-eight billion, sixteen million, four hundred fourteen thousand, seven hundred twenty".