98864751651120 has 3840 divisors, whose sum is σ = 451888452288000. Its totient is φ = 20028816138240.

The previous prime is 98864751651109. The next prime is 98864751651121. The reversal of 98864751651120 is 2115615746889.

98864751651120 is a `hidden beast` number, since 9 + 8 + 8 + 6 + 47 + 51 + 6 + 511 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98864751651121) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 546214097430 + ... + 546214097610.

It is an arithmetic number, because the mean of its divisors is an integer number (117679284450).

Almost surely, 2^{98864751651120} is an apocalyptic number.

98864751651120 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 98864751651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225944226144000).

98864751651120 is an abundant number, since it is smaller than the sum of its proper divisors (353023700636880).

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

98864751651120 is a wasteful number, since it uses less digits than its factorization.

98864751651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 98864751651120 in words is "ninety-eight trillion, eight hundred sixty-four billion, seven hundred fifty-one million, six hundred fifty-one thousand, one hundred twenty".