23138519040 has 1152 divisors, whose sum is σ = 103028889600. Its totient is φ = 4671406080.

The previous prime is 23138519039. The next prime is 23138519057. The reversal of 23138519040 is 4091583132.

23138519040 is a `hidden beast` number, since 2 + 3 + 138 + 519 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 23138518986 and 23138519004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259983316 + ... + 259983404.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 2^23138519040 is an apocalyptic number.

23138519040 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 23138519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51514444800).

23138519040 is an abundant number, since it is smaller than the sum of its proper divisors (79890370560).

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

23138519040 is a wasteful number, since it uses less digits than its factorization.

23138519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 23138519040 in words is "twenty-three billion, one hundred thirty-eight million, five hundred nineteen thousand, forty".