89908224000 has 896 divisors, whose sum is σ = 354288010752. Its totient is φ = 19818086400.

The previous prime is 89908223987. The next prime is 89908224013. The reversal of 89908224000 is 42280998.

It is an interprime number because it is at equal distance from previous prime (89908223987) and next prime (89908224013).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795647944 + ... + 795648056.

Almost surely, 2^89908224000 is an apocalyptic number.

89908224000 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 89908224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177144005376).

89908224000 is an abundant number, since it is smaller than the sum of its proper divisors (264379786752).

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

89908224000 is a wasteful number, since it uses less digits than its factorization.

89908224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 89908224000 in words is "eighty-nine billion, nine hundred eight million, two hundred twenty-four thousand".