89405521920 has 912 divisors, whose sum is σ = 370993869792. Its totient is φ = 19629342720.

The previous prime is 89405521903. The next prime is 89405521937. The reversal of 89405521920 is 2912550498.

It is a happy number.

89405521920 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 552 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89405521903) and next prime (89405521937).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686896614 + ... + 1686896666.

Almost surely, 2^89405521920 is an apocalyptic number.

89405521920 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 89405521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185496934896).

89405521920 is an abundant number, since it is smaller than the sum of its proper divisors (281588347872).

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

89405521920 is a wasteful number, since it uses less digits than its factorization.

89405521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 89405521920 in words is "eighty-nine billion, four hundred five million, five hundred twenty-one thousand, nine hundred twenty".