25291284480 has 1176 divisors, whose sum is σ = 114315855696. Its totient is φ = 5255331840.

The previous prime is 25291284467. The next prime is 25291284581. The reversal of 25291284480 is 8448219252.

25291284480 is a `hidden beast` number, since 2 + 5 + 2 + 91 + 2 + 84 + 480 = 666.

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 83 ways as a sum of consecutive naturals, for example, 2299207675 + ... + 2299207685.

Almost surely, 2^25291284480 is an apocalyptic number.

25291284480 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 25291284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57157927848).

25291284480 is an abundant number, since it is smaller than the sum of its proper divisors (89024571216).

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

25291284480 is an frugal number, since it uses more digits than its factorization.

25291284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25291284480 in words is "twenty-five billion, two hundred ninety-one million, two hundred eighty-four thousand, four hundred eighty".