9264955392000 has 2816 divisors, whose sum is σ = 45225994844160. Its totient is φ = 1811939328000.

The previous prime is 9264955391999. The next prime is 9264955392013. The reversal of 9264955392000 is 2935594629.

It is a happy number.

9264955392000 is a `hidden beast` number, since 9 + 2 + 64 + 9 + 553 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 544997375992 + ... + 544997376008.

Almost surely, 2^{9264955392000} is an apocalyptic number.

9264955392000 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 9264955392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612997422080).

9264955392000 is an abundant number, since it is smaller than the sum of its proper divisors (35961039452160).

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

9264955392000 is an frugal number, since it uses more digits than its factorization.

9264955392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 9264955392000 in words is "nine trillion, two hundred sixty-four billion, nine hundred fifty-five million, three hundred ninety-two thousand".