23211048960 has 768 divisors, whose sum is σ = 92747229120. Its totient is φ = 5520752640.

The previous prime is 23211048947. The next prime is 23211048977. The reversal of 23211048960 is 6984011232.

23211048960 is a `hidden beast` number, since 2 + 3 + 2 + 110 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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 47 ways as a sum of consecutive naturals, for example, 437944294 + ... + 437944346.

Almost surely, 2^23211048960 is an apocalyptic number.

23211048960 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 23211048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46373614560).

23211048960 is an abundant number, since it is smaller than the sum of its proper divisors (69536180160).

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

23211048960 is an frugal number, since it uses more digits than its factorization.

23211048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23211048960 in words is "twenty-three billion, two hundred eleven million, forty-eight thousand, nine hundred sixty".