60513619968 has 260 divisors, whose sum is σ = 191423178540. Its totient is φ = 18982895616.

The previous prime is 60513619961. The next prime is 60513619987. The reversal of 60513619968 is 86991631506.

60513619968 is a `hidden beast` number, since 6 + 0 + 5 + 13 + 619 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46159663104 + 14353956864 = 214848^2 + 119808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (60513619961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5634828 + ... + 5645556.

Almost surely, 2^60513619968 is an apocalyptic number.

60513619968 is a gapful number since it is divisible by the number (68) 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 60513619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95711589270).

60513619968 is an abundant number, since it is smaller than the sum of its proper divisors (130909558572).

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

60513619968 is a wasteful number, since it uses less digits than its factorization.

60513619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 60513619968 in words is "sixty billion, five hundred thirteen million, six hundred nineteen thousand, nine hundred sixty-eight".