24972154893460 has 96 divisors (see below), whose sum is σ = 55395718963200. Its totient is φ = 9441217941120.

The previous prime is 24972154893419. The next prime is 24972154893463. The reversal of 24972154893460 is 6439845127942.

It is a junction number, because it is equal to n+sod(n) for n = 24972154893392 and 24972154893401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24972154893463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803490201 + ... + 803521279.

It is an arithmetic number, because the mean of its divisors is an integer number (577038739200).

It is a 1-persistent number, because it is pandigital, but 2⋅24972154893460 = 49944309786920 is not.

Almost surely, 2^{24972154893460} is an apocalyptic number.

24972154893460 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 24972154893460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27697859481600).

24972154893460 is an abundant number, since it is smaller than the sum of its proper divisors (30423564069740).

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

24972154893460 is a wasteful number, since it uses less digits than its factorization.

24972154893460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61301 (or 61299 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 24972154893460 in words is "twenty-four trillion, nine hundred seventy-two billion, one hundred fifty-four million, eight hundred ninety-three thousand, four hundred sixty".