60090079104 has 576 divisors, whose sum is σ = 199439735040. Its totient is φ = 17335296000.

The previous prime is 60090079037. The next prime is 60090079121. The reversal of 60090079104 is 40197009006.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×60090079104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314607649 + ... + 314607839.

It is an arithmetic number, because the mean of its divisors is an integer number (346249540).

Almost surely, 2^60090079104 is an apocalyptic number.

60090079104 is a gapful number since it is divisible by the number (64) 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 60090079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99719867520).

60090079104 is an abundant number, since it is smaller than the sum of its proper divisors (139349655936).

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

60090079104 is a wasteful number, since it uses less digits than its factorization.

60090079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 60090079104 in words is "sixty billion, ninety million, seventy-nine thousand, one hundred four".