25525463040 has 1152 divisors, whose sum is σ = 115026912000. Its totient is φ = 5255331840.

The previous prime is 25525463011. The next prime is 25525463063. The reversal of 25525463040 is 4036452552.

25525463040 is a `hidden beast` number, since 2 + 552 + 5 + 4 + 63 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 25525462986 and 25525463004.

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, 234178506 + ... + 234178614.

It is an arithmetic number, because the mean of its divisors is an integer number (99849750).

Almost surely, 2^25525463040 is an apocalyptic number.

25525463040 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 25525463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456000).

25525463040 is an abundant number, since it is smaller than the sum of its proper divisors (89501448960).

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

25525463040 is a wasteful number, since it uses less digits than its factorization.

25525463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 25525463040 in words is "twenty-five billion, five hundred twenty-five million, four hundred sixty-three thousand, forty".