60956098560 has 960 divisors, whose sum is σ = 257690173440. Its totient is φ = 13377208320.

The previous prime is 60956098531. The next prime is 60956098561. The reversal of 60956098560 is 6589065906.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 60956098497 and 60956098506.

It is not an unprimeable number, because it can be changed into a prime (60956098561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479969217 + ... + 479969343.

It is an arithmetic number, because the mean of its divisors is an integer number (268427264).

Almost surely, 2^60956098560 is an apocalyptic number.

60956098560 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 60956098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845086720).

60956098560 is an abundant number, since it is smaller than the sum of its proper divisors (196734074880).

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

60956098560 is a wasteful number, since it uses less digits than its factorization.

60956098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 60956098560 in words is "sixty billion, nine hundred fifty-six million, ninety-eight thousand, five hundred sixty".