25216416064 has 196 divisors, whose sum is σ = 62126361396. Its totient is φ = 10119696384.

The previous prime is 25216416053. The next prime is 25216416101. The reversal of 25216416064 is 46061461252.

It can be written as a sum of positive squares in 2 ways, for example, as 22776846400 + 2439569664 = 150920^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (196).

It is a super-2 number, since 2×25216416064² (a number of 22 digits) contains 22 as substring.

25216416064 is a modest number, since divided by 416064 gives 25216 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128002014 + ... + 128002210.

Almost surely, 2^25216416064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25216416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31063180698).

25216416064 is an abundant number, since it is smaller than the sum of its proper divisors (36909945332).

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

25216416064 is an frugal number, since it uses more digits than its factorization.

25216416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 25216416064 in words is "twenty-five billion, two hundred sixteen million, four hundred sixteen thousand, sixty-four".