89616421440 has 1344 divisors, whose sum is σ = 417383366400. Its totient is φ = 17892016128.

The previous prime is 89616421439. The next prime is 89616421471. The reversal of 89616421440 is 4412461698.

89616421440 is a `hidden beast` number, since 8 + 9 + 616 + 4 + 21 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×89616421440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104569492 + ... + 104570348.

It is an arithmetic number, because the mean of its divisors is an integer number (310553100).

Almost surely, 2^89616421440 is an apocalyptic number.

89616421440 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 89616421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208691683200).

89616421440 is an abundant number, since it is smaller than the sum of its proper divisors (327766944960).

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

89616421440 is a wasteful number, since it uses less digits than its factorization.

89616421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 89616421440 in words is "eighty-nine billion, six hundred sixteen million, four hundred twenty-one thousand, four hundred forty".