24985105620 has 192 divisors, whose sum is σ = 75497619456. Its totient is φ = 6157972480.

The previous prime is 24985105609. The next prime is 24985105631. The reversal of 24985105620 is 2650158942.

It is an interprime number because it is at equal distance from previous prime (24985105609) and next prime (24985105631).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6051997 + ... + 6056123.

It is an arithmetic number, because the mean of its divisors is an integer number (393216768).

Almost surely, 2^24985105620 is an apocalyptic number.

24985105620 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 24985105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748809728).

24985105620 is an abundant number, since it is smaller than the sum of its proper divisors (50512513836).

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

24985105620 is a wasteful number, since it uses less digits than its factorization.

24985105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 24985105620 in words is "twenty-four billion, nine hundred eighty-five million, one hundred five thousand, six hundred twenty".