24972948000 has 2160 divisors, whose sum is σ = 126213279192. Its totient is φ = 4790016000.

The previous prime is 24972947917. The next prime is 24972948001. The reversal of 24972948000 is 84927942.

It can be written as a sum of positive squares in 4 ways, for example, as 3388636944 + 21584311056 = 58212^2 + 146916^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (24972948001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1920995994 + ... + 1920996006.

Almost surely, 2^24972948000 is an apocalyptic number.

24972948000 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 24972948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63106639596).

24972948000 is an abundant number, since it is smaller than the sum of its proper divisors (101240331192).

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

24972948000 is a wasteful number, since it uses less digits than its factorization.

24972948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 24972948000 in words is "twenty-four billion, nine hundred seventy-two million, nine hundred forty-eight thousand".