60098112000 has 400 divisors, whose sum is σ = 223881855912. Its totient is φ = 16024780800.

The previous prime is 60098111971. The next prime is 60098112001. The reversal of 60098112000 is 21189006.

It can be written as a sum of positive squares in 4 ways, for example, as 34133301504 + 25964810496 = 184752^2 + 161136^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×60098112000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60098112001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5178204 + ... + 5189796.

Almost surely, 2^60098112000 is an apocalyptic number.

60098112000 is a gapful number since it is divisible by the number (60) 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 60098112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111940927956).

60098112000 is an abundant number, since it is smaller than the sum of its proper divisors (163783743912).

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

60098112000 is an equidigital number, since it uses as much as digits as its factorization.

60098112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 60098112000 in words is "sixty billion, ninety-eight million, one hundred twelve thousand".