25700613120 has 1056 divisors, whose sum is σ = 114162467328. Its totient is φ = 5398659072.

The previous prime is 25700613119. The next prime is 25700613121. The reversal of 25700613120 is 2131600752.

It is a happy number.

25700613120 is a `hidden beast` number, since 2 + 570 + 0 + 61 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25700613119) and next prime (25700613121).

It is a super-3 number, since 3×25700613120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25700613121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218447 + ... + 113218673.

Almost surely, 2^25700613120 is an apocalyptic number.

25700613120 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 25700613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57081233664).

25700613120 is an abundant number, since it is smaller than the sum of its proper divisors (88461854208).

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

25700613120 is a wasteful number, since it uses less digits than its factorization.

25700613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 25700613120 in words is "twenty-five billion, seven hundred million, six hundred thirteen thousand, one hundred twenty".