98054737920 has 1248 divisors, whose sum is σ = 399285694080. Its totient is φ = 22932357120.

The previous prime is 98054737909. The next prime is 98054737927. The reversal of 98054737920 is 2973745089.

98054737920 is a `hidden beast` number, since 9 + 8 + 0 + 547 + 3 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×98054737920² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98054737927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607454690 + ... + 1607454750.

It is an arithmetic number, because the mean of its divisors is an integer number (319940460).

Almost surely, 2^98054737920 is an apocalyptic number.

98054737920 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 98054737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199642847040).

98054737920 is an abundant number, since it is smaller than the sum of its proper divisors (301230956160).

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

98054737920 is a wasteful number, since it uses less digits than its factorization.

98054737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 98054737920 in words is "ninety-eight billion, fifty-four million, seven hundred thirty-seven thousand, nine hundred twenty".