25081011648 has 504 divisors, whose sum is σ = 91381661280. Its totient is φ = 6437376000.

The previous prime is 25081011607. The next prime is 25081011653. The reversal of 25081011648 is 84611018052.

25081011648 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 1 + 0 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×25081011648² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49274818 + ... + 49275326.

It is an arithmetic number, because the mean of its divisors is an integer number (181312820).

Almost surely, 2^25081011648 is an apocalyptic number.

25081011648 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 25081011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45690830640).

25081011648 is an abundant number, since it is smaller than the sum of its proper divisors (66300649632).

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

25081011648 is a wasteful number, since it uses less digits than its factorization.

25081011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 25081011648 in words is "twenty-five billion, eighty-one million, eleven thousand, six hundred forty-eight".