23725954661040 has 320 divisors, whose sum is σ = 82014868272000. Its totient is φ = 6304319963136.

The previous prime is 23725954661039. The next prime is 23725954661119. The reversal of 23725954661040 is 4016645952732.

It is a happy number.

23725954661040 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 59 + 546 + 6 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2458898136 + ... + 2458907784.

It is an arithmetic number, because the mean of its divisors is an integer number (256296463350).

Almost surely, 2^{23725954661040} is an apocalyptic number.

23725954661040 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 23725954661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41007434136000).

23725954661040 is an abundant number, since it is smaller than the sum of its proper divisors (58288913610960).

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

23725954661040 is a wasteful number, since it uses less digits than its factorization.

23725954661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13621 (or 13609 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 23725954661040 in words is "twenty-three trillion, seven hundred twenty-five billion, nine hundred fifty-four million, six hundred sixty-one thousand, forty".