98498057011200 has 5508 divisors, whose sum is σ = 492307152336792. Its totient is φ = 19263179980800.

The previous prime is 98498057011177. The next prime is 98498057011301. The reversal of 98498057011200 is 211075089489.

It is a happy number.

98498057011200 is a `hidden beast` number, since 9 + 8 + 49 + 8 + 0 + 570 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5508).

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5794003353592 + ... + 5794003353608.

Almost surely, 2^{98498057011200} is an apocalyptic number.

98498057011200 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 98498057011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246153576168396).

98498057011200 is an abundant number, since it is smaller than the sum of its proper divisors (393809095325592).

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

98498057011200 is an frugal number, since it uses more digits than its factorization.

98498057011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 98498057011200 in words is "ninety-eight trillion, four hundred ninety-eight billion, fifty-seven million, eleven thousand, two hundred".