89625989376 has 891 divisors, whose sum is σ = 343122147543. Its totient is φ = 23279477760.

The previous prime is 89625989303. The next prime is 89625989377. The reversal of 89625989376 is 67398952698.

The square root of 89625989376 is 299376.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (891).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (89625989377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 8147817211 + ... + 8147817221.

Almost surely, 2^89625989376 is an apocalyptic number.

89625989376 is the 299376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89625989376

89625989376 is an abundant number, since it is smaller than the sum of its proper divisors (253496158167).

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

89625989376 is an frugal number, since it uses more digits than its factorization.

89625989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 89625989376 in words is "eighty-nine billion, six hundred twenty-five million, nine hundred eighty-nine thousand, three hundred seventy-six".