98009553197952 has 256 divisors, whose sum is σ = 315635675616000. Its totient is φ = 29692842117120.

The previous prime is 98009553197891. The next prime is 98009553197987. The reversal of 98009553197952 is 25979135590089.

98009553197952 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 9 + 553 + 19 + 7 + 9 + 52 = 666.

It is a super-2 number, since 2×98009553197952² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 161607478 + ... + 162212810.

It is an arithmetic number, because the mean of its divisors is an integer number (1232951857875).

Almost surely, 2^{98009553197952} 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 98009553197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157817837808000).

98009553197952 is an abundant number, since it is smaller than the sum of its proper divisors (217626122418048).

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

98009553197952 is a wasteful number, since it uses less digits than its factorization.

98009553197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609626 (or 609608 counting only the distinct ones).

The product of its (nonzero) digits is 275562000, while the sum is 72.

The spelling of 98009553197952 in words is "ninety-eight trillion, nine billion, five hundred fifty-three million, one hundred ninety-seven thousand, nine hundred fifty-two".