89649745920 has 1664 divisors, whose sum is σ = 407636582400. Its totient is φ = 18218483712.

The previous prime is 89649745919. The next prime is 89649745931. The reversal of 89649745920 is 2954794698.

89649745920 is a `hidden beast` number, since 8 + 96 + 4 + 97 + 459 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1691504614 + ... + 1691504666.

Almost surely, 2^89649745920 is an apocalyptic number.

89649745920 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 89649745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203818291200).

89649745920 is an abundant number, since it is smaller than the sum of its proper divisors (317986836480).

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

89649745920 is a wasteful number, since it uses less digits than its factorization.

89649745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 89649745920 in words is "eighty-nine billion, six hundred forty-nine million, seven hundred forty-five thousand, nine hundred twenty".