98392627200 has 864 divisors, whose sum is σ = 401156355600. Its totient is φ = 21139292160.

The previous prime is 98392627189. The next prime is 98392627211. The reversal of 98392627200 is 272629389.

It is an interprime number because it is at equal distance from previous prime (98392627189) and next prime (98392627211).

It is a super-2 number, since 2×98392627200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98392627200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127948416 + ... + 127949184.

Almost surely, 2^98392627200 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 98392627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200578177800).

98392627200 is an abundant number, since it is smaller than the sum of its proper divisors (302763728400).

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

98392627200 is a wasteful number, since it uses less digits than its factorization.

98392627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 98392627200 in words is "ninety-eight billion, three hundred ninety-two million, six hundred twenty-seven thousand, two hundred".