60250077126720 has 672 divisors, whose sum is σ = 237118286321280. Its totient is φ = 13918892359680.

The previous prime is 60250077126719. The next prime is 60250077126737. The reversal of 60250077126720 is 2762177005206.

60250077126720 is a `hidden beast` number, since 6 + 0 + 2 + 500 + 7 + 71 + 2 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75719740 + ... + 76511300.

It is an arithmetic number, because the mean of its divisors is an integer number (352854592740).

Almost surely, 2^{60250077126720} is an apocalyptic number.

60250077126720 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 60250077126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118559143160640).

60250077126720 is an abundant number, since it is smaller than the sum of its proper divisors (176868209194560).

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

60250077126720 is a wasteful number, since it uses less digits than its factorization.

60250077126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791723 (or 791710 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 60250077126720 in words is "sixty trillion, two hundred fifty billion, seventy-seven million, one hundred twenty-six thousand, seven hundred twenty".