89074909440 has 720 divisors, whose sum is σ = 352264562496. Its totient is φ = 21311078400.

The previous prime is 89074909439. The next prime is 89074909481. The reversal of 89074909440 is 4490947098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×89074909440² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94659370 + ... + 94660310.

Almost surely, 2^89074909440 is an apocalyptic number.

89074909440 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 89074909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176132281248).

89074909440 is an abundant number, since it is smaller than the sum of its proper divisors (263189653056).

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

89074909440 is a wasteful number, since it uses less digits than its factorization.

89074909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 89074909440 in words is "eighty-nine billion, seventy-four million, nine hundred nine thousand, four hundred forty".