98105047629120 has 3136 divisors, whose sum is σ = 432264330141696. Its totient is φ = 20710605864960.

The previous prime is 98105047629091. The next prime is 98105047629131. The reversal of 98105047629120 is 2192674050189.

It is a happy number.

98105047629120 is a `hidden beast` number, since 9 + 8 + 1 + 0 + 5 + 0 + 4 + 7 + 629 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 315450313765 + ... + 315450314075.

Almost surely, 2^{98105047629120} is an apocalyptic number.

98105047629120 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 98105047629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216132165070848).

98105047629120 is an abundant number, since it is smaller than the sum of its proper divisors (334159282512576).

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

98105047629120 is a wasteful number, since it uses less digits than its factorization.

98105047629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 98105047629120 in words is "ninety-eight trillion, one hundred five billion, forty-seven million, six hundred twenty-nine thousand, one hundred twenty".