89264229120 has 1440 divisors, whose sum is σ = 376945519104. Its totient is φ = 19950796800.

The previous prime is 89264229101. The next prime is 89264229139. The reversal of 89264229120 is 2192246298.

89264229120 is a `hidden beast` number, since 89 + 26 + 422 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (89264229101) and next prime (89264229139).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1075472599 + ... + 1075472681.

Almost surely, 2^89264229120 is an apocalyptic number.

89264229120 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 89264229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188472759552).

89264229120 is an abundant number, since it is smaller than the sum of its proper divisors (287681289984).

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

89264229120 is a wasteful number, since it uses less digits than its factorization.

89264229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 89264229120 in words is "eighty-nine billion, two hundred sixty-four million, two hundred twenty-nine thousand, one hundred twenty".