98735418525 has 192 divisors, whose sum is σ = 182286547200. Its totient is φ = 46969528320.

The previous prime is 98735418511. The next prime is 98735418527. The reversal of 98735418525 is 52581453789.

It is not a de Polignac number, because 98735418525 - 2⁶ = 98735418461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

Together with 83551128675 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98735418527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248703627 + ... + 248704023.

It is an arithmetic number, because the mean of its divisors is an integer number (949409100).

Almost surely, 2^98735418525 is an apocalyptic number.

98735418525 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

98735418525 is a deficient number, since it is larger than the sum of its proper divisors (83551128675).

98735418525 is a wasteful number, since it uses less digits than its factorization.

98735418525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 57.

The spelling of 98735418525 in words is "ninety-eight billion, seven hundred thirty-five million, four hundred eighteen thousand, five hundred twenty-five".