89944126272 has 560 divisors, whose sum is σ = 358003400832. Its totient is φ = 21563781120.

The previous prime is 89944126267. The next prime is 89944126289. The reversal of 89944126272 is 27262144998.

It is a happy number.

89944126272 is a `hidden beast` number, since 8 + 9 + 9 + 4 + 4 + 1 + 2 + 627 + 2 = 666.

It is a super-3 number, since 3×89944126272³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5180518 + ... + 5197850.

Almost surely, 2^89944126272 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 89944126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179001700416).

89944126272 is an abundant number, since it is smaller than the sum of its proper divisors (268059274560).

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

89944126272 is a wasteful number, since it uses less digits than its factorization.

89944126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17388 (or 17369 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 89944126272 in words is "eighty-nine billion, nine hundred forty-four million, one hundred twenty-six thousand, two hundred seventy-two".