2525686282098 has 192 divisors, whose sum is σ = 6613415424000. Its totient is φ = 712308165408.

The previous prime is 2525686282057. The next prime is 2525686282099. The reversal of 2525686282098 is 8902826865252.

2525686282098 is a `hidden beast` number, since 2 + 5 + 2 + 568 + 62 + 8 + 2 + 0 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2525686282099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289671783 + ... + 289680501.

It is an arithmetic number, because the mean of its divisors is an integer number (34444872000).

Almost surely, 2^{2525686282098} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525686282098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306707712000).

2525686282098 is an abundant number, since it is smaller than the sum of its proper divisors (4087729141902).

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

2525686282098 is a wasteful number, since it uses less digits than its factorization.

2525686282098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 2525686282098 in words is "two trillion, five hundred twenty-five billion, six hundred eighty-six million, two hundred eighty-two thousand, ninety-eight".