98819461026000 has 800 divisors, whose sum is σ = 419345971140096. Its totient is φ = 22113440640000.

The previous prime is 98819461025941. The next prime is 98819461026001. The reversal of 98819461026000 is 62016491889.

98819461026000 is a `hidden beast` number, since 9 + 8 + 8 + 19 + 4 + 6 + 10 + 2 + 600 + 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 not an unprimeable number, because it can be changed into a prime (98819461026001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21033145 + ... + 25298855.

Almost surely, 2^{98819461026000} is an apocalyptic number.

98819461026000 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 98819461026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209672985570048).

98819461026000 is an abundant number, since it is smaller than the sum of its proper divisors (320526510114096).

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

98819461026000 is a wasteful number, since it uses less digits than its factorization.

98819461026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265770 (or 4265745 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 98819461026000 in words is "ninety-eight trillion, eight hundred nineteen billion, four hundred sixty-one million, twenty-six thousand".