4960580985360 has 3360 divisors, whose sum is σ = 24140092435200. Its totient is φ = 931179110400.

The previous prime is 4960580985331. The next prime is 4960580985377. The reversal of 4960580985360 is 635890850694.

4960580985360 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 5 + 8 + 0 + 98 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 24927542541 + ... + 24927542739.

It is an arithmetic number, because the mean of its divisors is an integer number (7184551320).

Almost surely, 2^{4960580985360} is an apocalyptic number.

4960580985360 is a gapful number since it is divisible by the number (40) 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 4960580985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070046217600).

4960580985360 is an abundant number, since it is smaller than the sum of its proper divisors (19179511449840).

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

4960580985360 is a wasteful number, since it uses less digits than its factorization.

4960580985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4960580985360 in words is "four trillion, nine hundred sixty billion, five hundred eighty million, nine hundred eighty-five thousand, three hundred sixty".