23953189982040 has 384 divisors, whose sum is σ = 88269293548800. Its totient is φ = 5793714501120.

The previous prime is 23953189981933. The next prime is 23953189982081. The reversal of 23953189982040 is 4028998135932.

23953189982040 is a `hidden beast` number, since 2 + 3 + 9 + 531 + 8 + 9 + 98 + 2 + 0 + 4 + 0 = 666.

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, 47112706 + ... + 47618414.

It is an arithmetic number, because the mean of its divisors is an integer number (229867951950).

Almost surely, 2^{23953189982040} is an apocalyptic number.

23953189982040 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 23953189982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44134646774400).

23953189982040 is an abundant number, since it is smaller than the sum of its proper divisors (64316103566760).

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

23953189982040 is a wasteful number, since it uses less digits than its factorization.

23953189982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506189 (or 506173 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 23953189982040 in words is "twenty-three trillion, nine hundred fifty-three billion, one hundred eighty-nine million, nine hundred eighty-two thousand, forty".