89970993000 has 640 divisors, whose sum is σ = 361458789120. Its totient is φ = 20533305600.

The previous prime is 89970992977. The next prime is 89970993017. The reversal of 89970993000 is 39907998.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137780674 + ... + 137781326.

It is an arithmetic number, because the mean of its divisors is an integer number (564779358).

Almost surely, 2^89970993000 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 89970993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180729394560).

89970993000 is an abundant number, since it is smaller than the sum of its proper divisors (271487796120).

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

89970993000 is an frugal number, since it uses more digits than its factorization.

89970993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 89970993000 in words is "eighty-nine billion, nine hundred seventy million, nine hundred ninety-three thousand".