89771506440 has 576 divisors, whose sum is σ = 348390694080. Its totient is φ = 18298828800.

The previous prime is 89771506439. The next prime is 89771506459. The reversal of 89771506440 is 4460517798.

It is a super-2 number, since 2×89771506440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240674094 + ... + 240674466.

It is an arithmetic number, because the mean of its divisors is an integer number (604844955).

Almost surely, 2^89771506440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89771506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174195347040).

89771506440 is an abundant number, since it is smaller than the sum of its proper divisors (258619187640).

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

89771506440 is a wasteful number, since it uses less digits than its factorization.

89771506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 89771506440 in words is "eighty-nine billion, seven hundred seventy-one million, five hundred six thousand, four hundred forty".