60677145827300 has 144 divisors (see below), whose sum is σ = 137981699856000. Its totient is φ = 23116445721600.

The previous prime is 60677145827293. The next prime is 60677145827359. The reversal of 60677145827300 is 372854177606.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923529851 + ... + 923595549.

It is an arithmetic number, because the mean of its divisors is an integer number (958206249000).

Almost surely, 2^{60677145827300} 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 60677145827300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68990849928000).

60677145827300 is an abundant number, since it is smaller than the sum of its proper divisors (77304554028700).

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

60677145827300 is a wasteful number, since it uses less digits than its factorization.

60677145827300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67446 (or 67439 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 60677145827300 in words is "sixty trillion, six hundred seventy-seven billion, one hundred forty-five million, eight hundred twenty-seven thousand, three hundred".