23629141890720 has 1152 divisors, whose sum is σ = 90893671464960. Its totient is φ = 5777072824320.

The previous prime is 23629141890719. The next prime is 23629141890743. The reversal of 23629141890720 is 2709814192632.

23629141890720 is a `hidden beast` number, since 2 + 3 + 629 + 1 + 4 + 1 + 8 + 9 + 0 + 7 + 2 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3846511969 + ... + 3846518111.

It is an arithmetic number, because the mean of its divisors is an integer number (78900756480).

Almost surely, 2^{23629141890720} is an apocalyptic number.

23629141890720 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 23629141890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45446835732480).

23629141890720 is an abundant number, since it is smaller than the sum of its proper divisors (67264529574240).

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

23629141890720 is a wasteful number, since it uses less digits than its factorization.

23629141890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 23629141890720 in words is "twenty-three trillion, six hundred twenty-nine billion, one hundred forty-one million, eight hundred ninety thousand, seven hundred twenty".