60253079906304 has 144 divisors (see below), whose sum is σ = 174267441702900. Its totient is φ = 20056027889664.

The previous prime is 60253079906209. The next prime is 60253079906317. The reversal of 60253079906304 is 40360997035206.

60253079906304 is a `hidden beast` number, since 6 + 0 + 2 + 530 + 79 + 9 + 0 + 6 + 30 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58486519931904 + 1766559974400 = 7647648^2 + 1329120^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10762972 + ... + 15373604.

Almost surely, 2^{60253079906304} is an apocalyptic number.

60253079906304 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 60253079906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87133720851450).

60253079906304 is an abundant number, since it is smaller than the sum of its proper divisors (114014361796596).

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

60253079906304 is a wasteful number, since it uses less digits than its factorization.

60253079906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611370 (or 4611347 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 60253079906304 in words is "sixty trillion, two hundred fifty-three billion, seventy-nine million, nine hundred six thousand, three hundred four".