89741934720 has 320 divisors, whose sum is σ = 330828791040. Its totient is φ = 23158794240.

The previous prime is 89741934713. The next prime is 89741934721. The reversal of 89741934720 is 2743914798.

89741934720 is a `hidden beast` number, since 89 + 7 + 4 + 1 + 93 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×89741934720² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89741934721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1579119 + ... + 1634961.

It is an arithmetic number, because the mean of its divisors is an integer number (1033839972).

Almost surely, 2^89741934720 is an apocalyptic number.

89741934720 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 89741934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165414395520).

89741934720 is an abundant number, since it is smaller than the sum of its proper divisors (241086856320).

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

89741934720 is a wasteful number, since it uses less digits than its factorization.

89741934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55905 (or 55884 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 89741934720 in words is "eighty-nine billion, seven hundred forty-one million, nine hundred thirty-four thousand, seven hundred twenty".