89410789152 has 288 divisors, whose sum is σ = 274869504000. Its totient is φ = 27479637504.

The previous prime is 89410789151. The next prime is 89410789159. The reversal of 89410789152 is 25198701498.

It is a happy number.

89410789152 is a `hidden beast` number, since 8 + 9 + 410 + 78 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (89410789151) 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, 51178743 + ... + 51180489.

It is an arithmetic number, because the mean of its divisors is an integer number (954408000).

Almost surely, 2^89410789152 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 89410789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137434752000).

89410789152 is an abundant number, since it is smaller than the sum of its proper divisors (185458714848).

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

89410789152 is a wasteful number, since it uses less digits than its factorization.

89410789152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 89410789152 in words is "eighty-nine billion, four hundred ten million, seven hundred eighty-nine thousand, one hundred fifty-two".