96262866000 has 960 divisors, whose sum is σ = 408470999040. Its totient is φ = 20652825600.

The previous prime is 96262865957. The next prime is 96262866013. The reversal of 96262866000 is 66826269.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170981719 + ... + 170982281.

It is an arithmetic number, because the mean of its divisors is an integer number (425490624).

Almost surely, 2^96262866000 is an apocalyptic number.

96262866000 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 96262866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204235499520).

96262866000 is an abundant number, since it is smaller than the sum of its proper divisors (312208133040).

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

96262866000 is a wasteful number, since it uses less digits than its factorization.

96262866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96262866000 in words is "ninety-six billion, two hundred sixty-two million, eight hundred sixty-six thousand".