98348009760 has 2592 divisors, whose sum is σ = 501998357952. Its totient is φ = 17871114240.

The previous prime is 98348009719. The next prime is 98348009797. The reversal of 98348009760 is 6790084389.

98348009760 is a `hidden beast` number, since 98 + 3 + 480 + 0 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98348009697 and 98348009706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5176211031 + ... + 5176211049.

It is an arithmetic number, because the mean of its divisors is an integer number (193672206).

Almost surely, 2^98348009760 is an apocalyptic number.

98348009760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98348009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250999178976).

98348009760 is an abundant number, since it is smaller than the sum of its proper divisors (403650348192).

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

98348009760 is a wasteful number, since it uses less digits than its factorization.

98348009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98348009760 in words is "ninety-eight billion, three hundred forty-eight million, nine thousand, seven hundred sixty".