89865780480 has 1350 divisors, whose sum is σ = 395909210466. Its totient is φ = 19459657728.

The previous prime is 89865780463. The next prime is 89865780547. The reversal of 89865780480 is 8408756898.

89865780480 is a `hidden beast` number, since 8 + 9 + 86 + 5 + 78 + 0 + 480 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71892624384 + 17973156096 = 268128^2 + 134064^2 .

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 149 ways as a sum of consecutive naturals, for example, 4729777911 + ... + 4729777929.

Almost surely, 2^89865780480 is an apocalyptic number.

89865780480 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 89865780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197954605233).

89865780480 is an abundant number, since it is smaller than the sum of its proper divisors (306043429986).

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

89865780480 is an frugal number, since it uses more digits than its factorization.

89865780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 89865780480 in words is "eighty-nine billion, eight hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".