23050138325760 has 4536 divisors, whose sum is σ = 110460076710480. Its totient is φ = 4578015117312.

The previous prime is 23050138325743. The next prime is 23050138325771. The reversal of 23050138325760 is 6752383105032.

23050138325760 is a `hidden beast` number, since 2 + 3 + 0 + 501 + 3 + 8 + 32 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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 polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 146816167602 + ... + 146816167758.

Almost surely, 2^{23050138325760} is an apocalyptic number.

23050138325760 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 23050138325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55230038355240).

23050138325760 is an abundant number, since it is smaller than the sum of its proper divisors (87409938384720).

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

23050138325760 is a wasteful number, since it uses less digits than its factorization.

23050138325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 23050138325760 in words is "twenty-three trillion, fifty billion, one hundred thirty-eight million, three hundred twenty-five thousand, seven hundred sixty".