24988572000 has 1152 divisors, whose sum is σ = 113331778560. Its totient is φ = 5076172800.

The previous prime is 24988571999. The next prime is 24988572001. The reversal of 24988572000 is 27588942.

It is an interprime number because it is at equal distance from previous prime (24988571999) and next prime (24988572001).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24988572001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81395847 + ... + 81396153.

It is an arithmetic number, because the mean of its divisors is an integer number (98378280).

Almost surely, 2^24988572000 is an apocalyptic number.

24988572000 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 24988572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56665889280).

24988572000 is an abundant number, since it is smaller than the sum of its proper divisors (88343206560).

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

24988572000 is a wasteful number, since it uses less digits than its factorization.

24988572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 24988572000 in words is "twenty-four billion, nine hundred eighty-eight million, five hundred seventy-two thousand".