25434570627648 has 1008 divisors, whose sum is σ = 93569059292800. Its totient is φ = 6563830339584.

The previous prime is 25434570627611. The next prime is 25434570627673. The reversal of 25434570627648 is 84672607543452.

25434570627648 is a `hidden beast` number, since 2 + 5 + 4 + 34 + 570 + 6 + 27 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5673558015 + ... + 5673562497.

Almost surely, 2^{25434570627648} is an apocalyptic number.

25434570627648 is a gapful number since it is divisible by the number (28) 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 25434570627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46784529646400).

25434570627648 is an abundant number, since it is smaller than the sum of its proper divisors (68134488665152).

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

25434570627648 is a wasteful number, since it uses less digits than its factorization.

25434570627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 25434570627648 in words is "twenty-five trillion, four hundred thirty-four billion, five hundred seventy million, six hundred twenty-seven thousand, six hundred forty-eight".