9973152000 has 1152 divisors, whose sum is σ = 44998087680. Its totient is φ = 2123366400.

The previous prime is 9973151999. The next prime is 9973152001. The reversal of 9973152000 is 2513799.

It is an interprime number because it is at equal distance from previous prime (9973151999) and next prime (9973152001).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9973152001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102815952 + ... + 102816048.

It is an arithmetic number, because the mean of its divisors is an integer number (39060840).

Almost surely, 2^9973152000 is an apocalyptic number.

9973152000 is a gapful number since it is divisible by the number (90) 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 9973152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499043840).

9973152000 is an abundant number, since it is smaller than the sum of its proper divisors (35024935680).

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

9973152000 is a wasteful number, since it uses less digits than its factorization.

9973152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9973152000 is about 99865.6697769559. The cubic root of 9973152000 is about 2152.5048865360.

Adding to 9973152000 its reverse (2513799), we get a palindrome (9975665799).

The spelling of 9973152000 in words is "nine billion, nine hundred seventy-three million, one hundred fifty-two thousand".