23871629940480 has 1152 divisors, whose sum is σ = 100715892480000. Its totient is φ = 5238514778112.

The previous prime is 23871629940469. The next prime is 23871629940511. The reversal of 23871629940480 is 8404992617832.

23871629940480 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 1 + 62 + 9 + 94 + 0 + 480 = 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1255797216 + ... + 1255816224.

It is an arithmetic number, because the mean of its divisors is an integer number (87426990000).

Almost surely, 2^{23871629940480} is an apocalyptic number.

23871629940480 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 23871629940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50357946240000).

23871629940480 is an abundant number, since it is smaller than the sum of its proper divisors (76844262539520).

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

23871629940480 is a wasteful number, since it uses less digits than its factorization.

23871629940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19254 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 23871629940480 in words is "twenty-three trillion, eight hundred seventy-one billion, six hundred twenty-nine million, nine hundred forty thousand, four hundred eighty".