89960682240 has 1152 divisors, whose sum is σ = 380753049600. Its totient is φ = 19826933760.

The previous prime is 89960682233. The next prime is 89960682241. The reversal of 89960682240 is 4228606998.

It is a happy number.

89960682240 is a `hidden beast` number, since 8 + 9 + 9 + 606 + 8 + 2 + 24 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (89960682241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 538686637 + ... + 538686803.

It is an arithmetic number, because the mean of its divisors is an integer number (330514800).

Almost surely, 2^89960682240 is an apocalyptic number.

89960682240 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 89960682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190376524800).

89960682240 is an abundant number, since it is smaller than the sum of its proper divisors (290792367360).

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

89960682240 is a wasteful number, since it uses less digits than its factorization.

89960682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 89960682240 in words is "eighty-nine billion, nine hundred sixty million, six hundred eighty-two thousand, two hundred forty".