89351001600 has 480 divisors, whose sum is σ = 338518262016. Its totient is φ = 20351385600.

The previous prime is 89351001599. The next prime is 89351001601. The reversal of 89351001600 is 610015398.

It is an interprime number because it is at equal distance from previous prime (89351001599) and next prime (89351001601).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89351001601) 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, 131980462 + ... + 131981138.

Almost surely, 2^89351001600 is an apocalyptic number.

89351001600 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 89351001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169259131008).

89351001600 is an abundant number, since it is smaller than the sum of its proper divisors (249167260416).

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

89351001600 is a wasteful number, since it uses less digits than its factorization.

89351001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 89351001600 its reverse (610015398), we get a palindrome (89961016998).

The spelling of 89351001600 in words is "eighty-nine billion, three hundred fifty-one million, one thousand, six hundred".