89959001220 has 288 divisors, whose sum is σ = 312235056000. Its totient is φ = 21481701120.

The previous prime is 89959001173. The next prime is 89959001257. The reversal of 89959001220 is 2210095998.

It is a super-2 number, since 2×89959001220² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4367506 + ... + 4388054.

It is an arithmetic number, because the mean of its divisors is an integer number (1084149500).

Almost surely, 2^89959001220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89959001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156117528000).

89959001220 is an abundant number, since it is smaller than the sum of its proper divisors (222276054780).

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

89959001220 is a wasteful number, since it uses less digits than its factorization.

89959001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 20637 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 89959001220 in words is "eighty-nine billion, nine hundred fifty-nine million, one thousand, two hundred twenty".