89671760640 has 1152 divisors, whose sum is σ = 409904087040. Its totient is φ = 18015436800.

The previous prime is 89671760611. The next prime is 89671760657. The reversal of 89671760640 is 4606717698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 82494177 + ... + 82495263.

It is an arithmetic number, because the mean of its divisors is an integer number (355819520).

Almost surely, 2^89671760640 is an apocalyptic number.

89671760640 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 89671760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204952043520).

89671760640 is an abundant number, since it is smaller than the sum of its proper divisors (320232326400).

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

89671760640 is a wasteful number, since it uses less digits than its factorization.

89671760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 89671760640 in words is "eighty-nine billion, six hundred seventy-one million, seven hundred sixty thousand, six hundred forty".