89509717440 has 2240 divisors, whose sum is σ = 416369479680. Its totient is φ = 17915904000.

The previous prime is 89509717379. The next prime is 89509717441. The reversal of 89509717440 is 4471790598.

89509717440 is a `hidden beast` number, since 89 + 50 + 9 + 71 + 7 + 440 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89509717441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2183163820 + ... + 2183163860.

It is an arithmetic number, because the mean of its divisors is an integer number (185879232).

Almost surely, 2^89509717440 is an apocalyptic number.

89509717440 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 89509717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208184739840).

89509717440 is an abundant number, since it is smaller than the sum of its proper divisors (326859762240).

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

89509717440 is a wasteful number, since it uses less digits than its factorization.

89509717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 89509717440 in words is "eighty-nine billion, five hundred nine million, seven hundred seventeen thousand, four hundred forty".