89092386038880 has 960 divisors, whose sum is σ = 372597525780480. Its totient is φ = 19615899340800.

The previous prime is 89092386038867. The next prime is 89092386038917. The reversal of 89092386038880 is 8883068329098.

89092386038880 is a `hidden beast` number, since 8 + 9 + 0 + 9 + 2 + 3 + 8 + 603 + 8 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89092386038799 and 89092386038808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1133869995 + ... + 1133948565.

It is an arithmetic number, because the mean of its divisors is an integer number (388122422688).

Almost surely, 2^{89092386038880} is an apocalyptic number.

89092386038880 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 89092386038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186298762890240).

89092386038880 is an abundant number, since it is smaller than the sum of its proper divisors (283505139741600).

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

89092386038880 is a wasteful number, since it uses less digits than its factorization.

89092386038880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79065 (or 79048 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 89092386038880 in words is "eighty-nine trillion, ninety-two billion, three hundred eighty-six million, thirty-eight thousand, eight hundred eighty".