25125250276350 has 384 divisors, whose sum is σ = 81235550592000. Its totient is φ = 5590326067200.

The previous prime is 25125250276349. The next prime is 25125250276411. The reversal of 25125250276350 is 5367205252152.

25125250276350 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 5 + 2 + 5 + 0 + 2 + 7 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 25125250276296 and 25125250276305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173892837 + ... + 174037263.

It is an arithmetic number, because the mean of its divisors is an integer number (211550913000).

Almost surely, 2^{25125250276350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25125250276350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40617775296000).

25125250276350 is an abundant number, since it is smaller than the sum of its proper divisors (56110300315650).

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

25125250276350 is a wasteful number, since it uses less digits than its factorization.

25125250276350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144945 (or 144934 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

It can be divided in two parts, 25125250 and 276350, that added together give a square (25401600 = 5040²).

The spelling of 25125250276350 in words is "twenty-five trillion, one hundred twenty-five billion, two hundred fifty million, two hundred seventy-six thousand, three hundred fifty".