60209872128 has 576 divisors, whose sum is σ = 218703421440. Its totient is φ = 15947366400.

The previous prime is 60209872127. The next prime is 60209872169. The reversal of 60209872128 is 82127890206.

It is a Cunningham number, because it is equal to 245377²-1.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×60209872128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60209872127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58398973 + ... + 58400003.

It is an arithmetic number, because the mean of its divisors is an integer number (379693440).

Almost surely, 2^60209872128 is an apocalyptic number.

60209872128 is a gapful number since it is divisible by the number (68) 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 60209872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109351710720).

60209872128 is an abundant number, since it is smaller than the sum of its proper divisors (158493549312).

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

60209872128 is a wasteful number, since it uses less digits than its factorization.

60209872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 60209872128 in words is "sixty billion, two hundred nine million, eight hundred seventy-two thousand, one hundred twenty-eight".