23212949760 has 1728 divisors, whose sum is σ = 113264417280. Its totient is φ = 4379443200.

The previous prime is 23212949759. The next prime is 23212949783. The reversal of 23212949760 is 6794921232.

23212949760 is a `hidden beast` number, since 2 + 32 + 129 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540130 + ... + 380540190.

Almost surely, 2^23212949760 is an apocalyptic number.

23212949760 is a gapful number since it is divisible by the number (20) 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 23212949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56632208640).

23212949760 is an abundant number, since it is smaller than the sum of its proper divisors (90051467520).

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

23212949760 is a wasteful number, since it uses less digits than its factorization.

23212949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23212949760 in words is "twenty-three billion, two hundred twelve million, nine hundred forty-nine thousand, seven hundred sixty".