23038235136000 has 1872 divisors, whose sum is σ = 100214269122240. Its totient is φ = 5264488857600.

The previous prime is 23038235135953. The next prime is 23038235136041. The reversal of 23038235136000 is 63153283032.

23038235136000 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 8 + 2 + 35 + 13 + 600 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6096382111 + ... + 6096385889.

It is an arithmetic number, because the mean of its divisors is an integer number (53533263420).

Almost surely, 2^{23038235136000} is an apocalyptic number.

23038235136000 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 23038235136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50107134561120).

23038235136000 is an abundant number, since it is smaller than the sum of its proper divisors (77176033986240).

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

23038235136000 is an frugal number, since it uses more digits than its factorization.

23038235136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 23038235136000 in words is "twenty-three trillion, thirty-eight billion, two hundred thirty-five million, one hundred thirty-six thousand".