23488938950400 has 3888 divisors, whose sum is σ = 113083194212352. Its totient is φ = 4537103155200.

The previous prime is 23488938950381. The next prime is 23488938950401. The reversal of 23488938950400 is 405983988432.

23488938950400 is a `hidden beast` number, since 2 + 3 + 48 + 8 + 9 + 3 + 89 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23488938950401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 105331564689 + ... + 105331564911.

Almost surely, 2^{23488938950400} is an apocalyptic number.

23488938950400 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 23488938950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56541597106176).

23488938950400 is an abundant number, since it is smaller than the sum of its proper divisors (89594255261952).

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

23488938950400 is a wasteful number, since it uses less digits than its factorization.

23488938950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 23488938950400 in words is "twenty-three trillion, four hundred eighty-eight billion, nine hundred thirty-eight million, nine hundred fifty thousand, four hundred".