98719906521600 has 5760 divisors, whose sum is σ = 482563225976832. Its totient is φ = 18681377587200.

The previous prime is 98719906521557. The next prime is 98719906521629. The reversal of 98719906521600 is 612560991789.

98719906521600 is a `hidden beast` number, since 9 + 8 + 7 + 19 + 9 + 0 + 6 + 5 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×98719906521600² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 591137164717 + ... + 591137164883.

Almost surely, 2^{98719906521600} is an apocalyptic number.

98719906521600 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 98719906521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241281612988416).

98719906521600 is an abundant number, since it is smaller than the sum of its proper divisors (383843319455232).

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

98719906521600 is a wasteful number, since it uses less digits than its factorization.

98719906521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 98719906521600 in words is "ninety-eight trillion, seven hundred nineteen billion, nine hundred six million, five hundred twenty-one thousand, six hundred".