89079120000 has 960 divisors, whose sum is σ = 357242645760. Its totient is φ = 21150720000.

The previous prime is 89079119993. The next prime is 89079120001. The reversal of 89079120000 is 2197098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89079120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 290159847 + ... + 290160153.

It is an arithmetic number, because the mean of its divisors is an integer number (372127756).

Almost surely, 2^89079120000 is an apocalyptic number.

89079120000 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 89079120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178621322880).

89079120000 is an abundant number, since it is smaller than the sum of its proper divisors (268163525760).

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

89079120000 is a wasteful number, since it uses less digits than its factorization.

89079120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 89079120000 in words is "eighty-nine billion, seventy-nine million, one hundred twenty thousand".