24972570000 has 800 divisors, whose sum is σ = 104343599360. Its totient is φ = 5598720000.

The previous prime is 24972569989. The next prime is 24972570017. The reversal of 24972570000 is 7527942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137969910 + ... + 137970090.

Almost surely, 2^24972570000 is an apocalyptic number.

24972570000 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 24972570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52171799680).

24972570000 is an abundant number, since it is smaller than the sum of its proper divisors (79371029360).

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

24972570000 is a wasteful number, since it uses less digits than its factorization.

24972570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 24972570000 in words is "twenty-four billion, nine hundred seventy-two million, five hundred seventy thousand".