25970460516 has 576 divisors, whose sum is σ = 96334479360. Its totient is φ = 5855016960.

The previous prime is 25970460391. The next prime is 25970460563. The reversal of 25970460516 is 61506407952.

25970460516 is a `hidden beast` number, since 2 + 5 + 9 + 70 + 4 + 60 + 516 = 666.

It is a super-2 number, since 2×25970460516² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23891325 + ... + 23892411.

It is an arithmetic number, because the mean of its divisors is an integer number (167247360).

Almost surely, 2^25970460516 is an apocalyptic number.

25970460516 is a gapful number since it is divisible by the number (26) 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 25970460516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48167239680).

25970460516 is an abundant number, since it is smaller than the sum of its proper divisors (70364018844).

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

25970460516 is a wasteful number, since it uses less digits than its factorization.

25970460516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25970460516 in words is "twenty-five billion, nine hundred seventy million, four hundred sixty thousand, five hundred sixteen".