98120365920 has 288 divisors, whose sum is σ = 342693711360. Its totient is φ = 25553802240.

The previous prime is 98120365919. The next prime is 98120365921. The reversal of 98120365920 is 2956302189.

98120365920 = 17351² + 17352² + ... + 17670².

98120365920 is a `hidden beast` number, since 9 + 8 + 1 + 20 + 36 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98120365919) and next prime (98120365921).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98120365921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38644011 + ... + 38646549.

It is an arithmetic number, because the mean of its divisors is an integer number (1189908720).

Almost surely, 2^98120365920 is an apocalyptic number.

98120365920 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 98120365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171346855680).

98120365920 is an abundant number, since it is smaller than the sum of its proper divisors (244573345440).

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

98120365920 is a wasteful number, since it uses less digits than its factorization.

98120365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 98120365920 in words is "ninety-eight billion, one hundred twenty million, three hundred sixty-five thousand, nine hundred twenty".