89481515924088 has 192 divisors, whose sum is σ = 245661415833600. Its totient is φ = 29421962760960.

The previous prime is 89481515924083. The next prime is 89481515924113. The reversal of 89481515924088 is 88042951518498.

89481515924088 is a `hidden beast` number, since 8 + 9 + 4 + 8 + 1 + 515 + 9 + 24 + 0 + 88 = 666.

89481515924088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 9459467²-1.

It is a super-4 number, since 4×89481515924088⁴ (a number of 57 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89481515924083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3613504395 + ... + 3613529157.

It is an arithmetic number, because the mean of its divisors is an integer number (1279486540800).

Almost surely, 2^{89481515924088} 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 89481515924088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122830707916800).

89481515924088 is an abundant number, since it is smaller than the sum of its proper divisors (156179899909512).

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

89481515924088 is a wasteful number, since it uses less digits than its factorization.

89481515924088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27162 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 89481515924088 in words is "eighty-nine trillion, four hundred eighty-one billion, five hundred fifteen million, nine hundred twenty-four thousand, eighty-eight".