25352701920 has 1440 divisors, whose sum is σ = 116504565408. Its totient is φ = 5141864448.

The previous prime is 25352701909. The next prime is 25352701943. The reversal of 25352701920 is 2910725352.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 305454199 + ... + 305454281.

Almost surely, 2^25352701920 is an apocalyptic number.

25352701920 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 25352701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58252282704).

25352701920 is an abundant number, since it is smaller than the sum of its proper divisors (91151863488).

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

25352701920 is a wasteful number, since it uses less digits than its factorization.

25352701920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 25352701920 in words is "twenty-five billion, three hundred fifty-two million, seven hundred one thousand, nine hundred twenty".