60117457920 has 704 divisors, whose sum is σ = 217452318720. Its totient is φ = 14077919232.

The previous prime is 60117457909. The next prime is 60117457921. The reversal of 60117457920 is 2975471106.

It is a happy number.

It is a super-2 number, since 2×60117457920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60117457921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 583664589 + ... + 583664691.

Almost surely, 2^60117457920 is an apocalyptic number.

60117457920 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 60117457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108726159360).

60117457920 is an abundant number, since it is smaller than the sum of its proper divisors (157334860800).

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

60117457920 is a wasteful number, since it uses less digits than its factorization.

60117457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 60117457920 in words is "sixty billion, one hundred seventeen million, four hundred fifty-seven thousand, nine hundred twenty".