25211957760 has 480 divisors, whose sum is σ = 98357276160. Its totient is φ = 5912985600.

The previous prime is 25211957753. The next prime is 25211957761. The reversal of 25211957760 is 6775911252.

25211957760 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 19 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (25211957761) 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, 7855036 + ... + 7858244.

It is an arithmetic number, because the mean of its divisors is an integer number (204910992).

Almost surely, 2^25211957760 is an apocalyptic number.

25211957760 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 25211957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49178638080).

25211957760 is an abundant number, since it is smaller than the sum of its proper divisors (73145318400).

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

25211957760 is a wasteful number, since it uses less digits than its factorization.

25211957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 25211957760 in words is "twenty-five billion, two hundred eleven million, nine hundred fifty-seven thousand, seven hundred sixty".