60101572608 has 1152 divisors, whose sum is σ = 238438287360. Its totient is φ = 14108590080.

The previous prime is 60101572603. The next prime is 60101572649. The reversal of 60101572608 is 80627510106.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×60101572608² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60101572603) by changing a digit.

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, 1133991910 + ... + 1133991962.

It is an arithmetic number, because the mean of its divisors is an integer number (206977680).

Almost surely, 2^60101572608 is an apocalyptic number.

60101572608 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 60101572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119219143680).

60101572608 is an abundant number, since it is smaller than the sum of its proper divisors (178336714752).

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

60101572608 is a wasteful number, since it uses less digits than its factorization.

60101572608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 60101572608 in words is "sixty billion, one hundred one million, five hundred seventy-two thousand, six hundred eight".