25470986809248 has 192 divisors, whose sum is σ = 75389774423040. Its totient is φ = 8364852115200.

The previous prime is 25470986809237. The next prime is 25470986809253. The reversal of 25470986809248 is 84290868907452.

25470986809248 is a `hidden beast` number, since 2 + 5 + 470 + 9 + 8 + 68 + 0 + 92 + 4 + 8 = 666.

It is a super-2 number, since 2×25470986809248² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87392403 + ... + 87683373.

It is an arithmetic number, because the mean of its divisors is an integer number (392655075120).

Almost surely, 2^{25470986809248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25470986809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37694887211520).

25470986809248 is an abundant number, since it is smaller than the sum of its proper divisors (49918787613792).

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

25470986809248 is a wasteful number, since it uses less digits than its factorization.

25470986809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292488 (or 292474 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 25470986809248 in words is "twenty-five trillion, four hundred seventy billion, nine hundred eighty-six million, eight hundred nine thousand, two hundred forty-eight".