23538644490240 has 1152 divisors, whose sum is σ = 89977337049600. Its totient is φ = 5643931484160.

The previous prime is 23538644490191. The next prime is 23538644490271. The reversal of 23538644490240 is 4209444683532.

23538644490240 is a `hidden beast` number, since 2 + 3 + 53 + 8 + 64 + 4 + 490 + 2 + 40 = 666.

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

It is a congruent number.

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, 53618779941 + ... + 53618780379.

It is an arithmetic number, because the mean of its divisors is an integer number (78105327300).

Almost surely, 2^{23538644490240} is an apocalyptic number.

23538644490240 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 23538644490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988668524800).

23538644490240 is an abundant number, since it is smaller than the sum of its proper divisors (66438692559360).

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

23538644490240 is a wasteful number, since it uses less digits than its factorization.

23538644490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 23538644490240 in words is "twenty-three trillion, five hundred thirty-eight billion, six hundred forty-four million, four hundred ninety thousand, two hundred forty".