98990211041280 has 960 divisors, whose sum is σ = 385118819205120. Its totient is φ = 24174622015488.

The previous prime is 98990211041273. The next prime is 98990211041333. The reversal of 98990211041280 is 8214011209989.

98990211041280 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 0 + 211 + 0 + 412 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 79 ways as a sum of consecutive naturals, for example, 1369369297 + ... + 1369441583.

It is an arithmetic number, because the mean of its divisors is an integer number (401165436672).

Almost surely, 2^{98990211041280} is an apocalyptic number.

98990211041280 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 98990211041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192559409602560).

98990211041280 is an abundant number, since it is smaller than the sum of its proper divisors (286128608163840).

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

98990211041280 is a wasteful number, since it uses less digits than its factorization.

98990211041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72466 (or 72437 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 98990211041280 in words is "ninety-eight trillion, nine hundred ninety billion, two hundred eleven million, forty-one thousand, two hundred eighty".