25540769415168 has 544 divisors, whose sum is σ = 87557776792320. Its totient is φ = 7297076035584.

The previous prime is 25540769415163. The next prime is 25540769415179. The reversal of 25540769415168 is 86151496704552.

It is a happy number.

25540769415168 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 0 + 76 + 9 + 41 + 516 + 8 = 666.

It is a super-2 number, since 2×25540769415168² (a number of 28 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (25540769415163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003277896 + ... + 1003303352.

Almost surely, 2^{25540769415168} is an apocalyptic number.

25540769415168 is a gapful number since it is divisible by the number (28) 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 25540769415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43778888396160).

25540769415168 is an abundant number, since it is smaller than the sum of its proper divisors (62017007377152).

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

25540769415168 is an frugal number, since it uses more digits than its factorization.

25540769415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25517 (or 25469 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 25540769415168 in words is "twenty-five trillion, five hundred forty billion, seven hundred sixty-nine million, four hundred fifteen thousand, one hundred sixty-eight".