89829606000 has 320 divisors, whose sum is σ = 312305011200. Its totient is φ = 22139136000.

The previous prime is 89829605963. The next prime is 89829606029. The reversal of 89829606000 is 60692898.

It is a super-2 number, since 2×89829606000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4664391 + ... + 4683609.

It is an arithmetic number, because the mean of its divisors is an integer number (975953160).

Almost surely, 2^89829606000 is an apocalyptic number.

89829606000 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 89829606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156152505600).

89829606000 is an abundant number, since it is smaller than the sum of its proper divisors (222475405200).

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

89829606000 is a wasteful number, since it uses less digits than its factorization.

89829606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 89829606000 in words is "eighty-nine billion, eight hundred twenty-nine million, six hundred six thousand".