20251749024 has 288 divisors, whose sum is σ = 63131612544. Its totient is φ = 6120990720.

The previous prime is 20251748999. The next prime is 20251749029. The reversal of 20251749024 is 42094715202.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20251749024.

It is not an unprimeable number, because it can be changed into a prime (20251749029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77002717 + ... + 77002979.

It is an arithmetic number, because the mean of its divisors is an integer number (219206988).

Almost surely, 2^20251749024 is an apocalyptic number.

20251749024 is a gapful number since it is divisible by the number (24) 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 20251749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31565806272).

20251749024 is an abundant number, since it is smaller than the sum of its proper divisors (42879863520).

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

20251749024 is a wasteful number, since it uses less digits than its factorization.

20251749024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20251749024 in words is "twenty billion, two hundred fifty-one million, seven hundred forty-nine thousand, twenty-four".