60457853585664 has 360 divisors, whose sum is σ = 182422434946752. Its totient is φ = 19913346478080.

The previous prime is 60457853585627. The next prime is 60457853585681. The reversal of 60457853585664 is 46658535875406.

60457853585664 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 7 + 8 + 5 + 3 + 58 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 60457853585592 and 60457853585601.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984576787 + ... + 984638189.

Almost surely, 2^{60457853585664} is an apocalyptic number.

60457853585664 is a gapful number since it is divisible by the number (64) 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 60457853585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91211217473376).

60457853585664 is an abundant number, since it is smaller than the sum of its proper divisors (121964581361088).

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

60457853585664 is a wasteful number, since it uses less digits than its factorization.

60457853585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61995 (or 61972 counting only the distinct ones).

The product of its (nonzero) digits is 2903040000, while the sum is 72.

The spelling of 60457853585664 in words is "sixty trillion, four hundred fifty-seven billion, eight hundred fifty-three million, five hundred eighty-five thousand, six hundred sixty-four".