25454891520 has 960 divisors, whose sum is σ = 101344763520. Its totient is φ = 6094061568.

The previous prime is 25454891509. The next prime is 25454891557. The reversal of 25454891520 is 2519845452.

25454891520 is a `hidden beast` number, since 2 + 5 + 45 + 4 + 89 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×25454891520³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306685399 + ... + 306685481.

It is an arithmetic number, because the mean of its divisors is an integer number (105567462).

Almost surely, 2^25454891520 is an apocalyptic number.

25454891520 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 25454891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50672381760).

25454891520 is an abundant number, since it is smaller than the sum of its proper divisors (75889872000).

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

25454891520 is an equidigital number, since it uses as much as digits as its factorization.

25454891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 25454891520 in words is "twenty-five billion, four hundred fifty-four million, eight hundred ninety-one thousand, five hundred twenty".