25740735729660 has 864 divisors, whose sum is σ = 97336470067200. Its totient is φ = 5687599680000.

The previous prime is 25740735729617. The next prime is 25740735729671. The reversal of 25740735729660 is 6692753704752.

It is a happy number.

25740735729660 is a `hidden beast` number, since 2 + 57 + 4 + 0 + 7 + 3 + 572 + 9 + 6 + 6 + 0 = 666.

It is a super-3 number, since 3×25740735729660³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11435243535 + ... + 11435245785.

Almost surely, 2^{25740735729660} is an apocalyptic number.

25740735729660 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 25740735729660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48668235033600).

25740735729660 is an abundant number, since it is smaller than the sum of its proper divisors (71595734337540).

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

25740735729660 is a wasteful number, since it uses less digits than its factorization.

25740735729660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 25740735729660 in words is "twenty-five trillion, seven hundred forty billion, seven hundred thirty-five million, seven hundred twenty-nine thousand, six hundred sixty".