89882251245108 has 288 divisors, whose sum is σ = 266854757105664. Its totient is φ = 24976034544384.

The previous prime is 89882251245103. The next prime is 89882251245133. The reversal of 89882251245108 is 80154215228898.

89882251245108 is a `hidden beast` number, since 8 + 9 + 8 + 8 + 2 + 2 + 512 + 4 + 5 + 108 = 666.

It is a super-3 number, since 3×89882251245108³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89882251245103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10061817010 + ... + 10061825942.

It is an arithmetic number, because the mean of its divisors is an integer number (926579017728).

Almost surely, 2^{89882251245108} 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 89882251245108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133427378552832).

89882251245108 is an abundant number, since it is smaller than the sum of its proper divisors (176972505860556).

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

89882251245108 is a wasteful number, since it uses less digits than its factorization.

89882251245108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 89882251245108 in words is "eighty-nine trillion, eight hundred eighty-two billion, two hundred fifty-one million, two hundred forty-five thousand, one hundred eight".