60013826505072 has 480 divisors, whose sum is σ = 186200871048192. Its totient is φ = 18042621696000.

The previous prime is 60013826505047. The next prime is 60013826505097. The reversal of 60013826505072 is 27050562831006.

60013826505072 is a `hidden beast` number, since 6 + 0 + 0 + 1 + 3 + 82 + 65 + 0 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (60013826505047) and next prime (60013826505097).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13072057497 + ... + 13072062087.

Almost surely, 2^{60013826505072} 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 60013826505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93100435524096).

60013826505072 is an abundant number, since it is smaller than the sum of its proper divisors (126187044543120).

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

60013826505072 is a wasteful number, since it uses less digits than its factorization.

60013826505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 60013826505072 in words is "sixty trillion, thirteen billion, eight hundred twenty-six million, five hundred five thousand, seventy-two".