89145039760 has 80 divisors (see below), whose sum is σ = 237262242816. Its totient is φ = 30513544704.

The previous prime is 89145039751. The next prime is 89145039803. The reversal of 89145039760 is 6793054198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×89145039760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89145039698 and 89145039707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208794 + ... + 471046.

Almost surely, 2^89145039760 is an apocalyptic number.

89145039760 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 89145039760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118631121408).

89145039760 is an abundant number, since it is smaller than the sum of its proper divisors (148117203056).

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

89145039760 is a wasteful number, since it uses less digits than its factorization.

89145039760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262880 (or 262874 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 89145039760 in words is "eighty-nine billion, one hundred forty-five million, thirty-nine thousand, seven hundred sixty".