89254788084 has 480 divisors, whose sum is σ = 309379150080. Its totient is φ = 21723033600.

The previous prime is 89254788047. The next prime is 89254788107. The reversal of 89254788084 is 48088745298.

89254788084 is a `hidden beast` number, since 8 + 9 + 2 + 5 + 478 + 80 + 84 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

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, 164980854 + ... + 164981394.

It is an arithmetic number, because the mean of its divisors is an integer number (644539896).

Almost surely, 2^89254788084 is an apocalyptic number.

89254788084 is a gapful number since it is divisible by the number (84) 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 89254788084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154689575040).

89254788084 is an abundant number, since it is smaller than the sum of its proper divisors (220124361996).

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

89254788084 is a wasteful number, since it uses less digits than its factorization.

89254788084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 89254788084 in words is "eighty-nine billion, two hundred fifty-four million, seven hundred eighty-eight thousand, eighty-four".