60513712837632 has 704 divisors, whose sum is σ = 188027366446080. Its totient is φ = 19205318246400.

The previous prime is 60513712837631. The next prime is 60513712837651. The reversal of 60513712837632 is 23673821731506.

60513712837632 is a `hidden beast` number, since 6 + 0 + 513 + 7 + 1 + 28 + 3 + 76 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60513712837631) 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, 21151243882 + ... + 21151246742.

Almost surely, 2^{60513712837632} 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 60513712837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94013683223040).

60513712837632 is an abundant number, since it is smaller than the sum of its proper divisors (127513653608448).

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

60513712837632 is a wasteful number, since it uses less digits than its factorization.

60513712837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 60513712837632 in words is "sixty trillion, five hundred thirteen billion, seven hundred twelve million, eight hundred thirty-seven thousand, six hundred thirty-two".