25278629416992 has 576 divisors, whose sum is σ = 86870336716800. Its totient is φ = 6820663449600.

The previous prime is 25278629416987. The next prime is 25278629416993. The reversal of 25278629416992 is 29961492687252.

25278629416992 is a `hidden beast` number, since 2 + 5 + 27 + 86 + 29 + 416 + 9 + 92 = 666.

It is a super-2 number, since 2×25278629416992² (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 a self number, because there is not a number n which added to its sum of digits gives 25278629416992.

It is not an unprimeable number, because it can be changed into a prime (25278629416993) 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, 494170617 + ... + 494221767.

It is an arithmetic number, because the mean of its divisors is an integer number (150816556800).

Almost surely, 2^{25278629416992} 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 25278629416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43435168358400).

25278629416992 is an abundant number, since it is smaller than the sum of its proper divisors (61591707299808).

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

25278629416992 is a wasteful number, since it uses less digits than its factorization.

25278629416992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51389 (or 51378 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 25278629416992 in words is "twenty-five trillion, two hundred seventy-eight billion, six hundred twenty-nine million, four hundred sixteen thousand, nine hundred ninety-two".