60292284416 has 360 divisors, whose sum is σ = 155319512040. Its totient is φ = 23187161088.

The previous prime is 60292284401. The next prime is 60292284427. The reversal of 60292284416 is 61448229206.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9714073600 + 50578210816 = 98560^2 + 224896^2 .

It is a super-2 number, since 2×60292284416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553140170 + ... + 553140278.

It is an arithmetic number, because the mean of its divisors is an integer number (431443089).

Almost surely, 2^60292284416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60292284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77659756020).

60292284416 is an abundant number, since it is smaller than the sum of its proper divisors (95027227624).

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

60292284416 is a wasteful number, since it uses less digits than its factorization.

60292284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 60292284416 in words is "sixty billion, two hundred ninety-two million, two hundred eighty-four thousand, four hundred sixteen".