25172467052544 has 1248 divisors, whose sum is σ = 94155369384960. Its totient is φ = 6306398208000.

The previous prime is 25172467052539. The next prime is 25172467052549. The reversal of 25172467052544 is 44525076427152.

25172467052544 is a `hidden beast` number, since 2 + 5 + 1 + 7 + 2 + 4 + 6 + 70 + 525 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (25172467052539) and next prime (25172467052549).

It is a super-2 number, since 2×25172467052544² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25172467052549) 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, 5084317269 + ... + 5084322219.

It is an arithmetic number, because the mean of its divisors is an integer number (75445007520).

Almost surely, 2^{25172467052544} is an apocalyptic number.

25172467052544 is a gapful number since it is divisible by the number (24) 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 25172467052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077684692480).

25172467052544 is an abundant number, since it is smaller than the sum of its proper divisors (68982902332416).

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

25172467052544 is a wasteful number, since it uses less digits than its factorization.

25172467052544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 25172467052544 in words is "twenty-five trillion, one hundred seventy-two billion, four hundred sixty-seven million, fifty-two thousand, five hundred forty-four".