89941029120 has 432 divisors, whose sum is σ = 328751334912. Its totient is φ = 22666936320.

The previous prime is 89941029091. The next prime is 89941029133. The reversal of 89941029120 is 2192014998.

89941029120 is a `hidden beast` number, since 8 + 99 + 410 + 29 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15353232 + ... + 15359088.

Almost surely, 2^89941029120 is an apocalyptic number.

89941029120 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 89941029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164375667456).

89941029120 is an abundant number, since it is smaller than the sum of its proper divisors (238810305792).

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

89941029120 is a wasteful number, since it uses less digits than its factorization.

89941029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 89941029120 in words is "eighty-nine billion, nine hundred forty-one million, twenty-nine thousand, one hundred twenty".