25716214631120 has 120 divisors (see below), whose sum is σ = 64765140759000. Its totient is φ = 9492004773888.

The previous prime is 25716214631119. The next prime is 25716214631143. The reversal of 25716214631120 is 2113641261752.

It can be written as a sum of positive squares in 12 ways, for example, as 21351090284176 + 4365124346944 = 4620724^2 + 2089288^2 .

It is a super-2 number, since 2×25716214631120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39820556 + ... + 40461204.

It is an arithmetic number, because the mean of its divisors is an integer number (539709506325).

Almost surely, 2^{25716214631120} is an apocalyptic number.

25716214631120 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 25716214631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32382570379500).

25716214631120 is an abundant number, since it is smaller than the sum of its proper divisors (39048926127880).

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

25716214631120 is a wasteful number, since it uses less digits than its factorization.

25716214631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643657 (or 643638 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

Adding to 25716214631120 its reverse (2113641261752), we get a palindrome (27829855892872).

The spelling of 25716214631120 in words is "twenty-five trillion, seven hundred sixteen billion, two hundred fourteen million, six hundred thirty-one thousand, one hundred twenty".