60164251200 has 1008 divisors, whose sum is σ = 239797945600. Its totient is φ = 14664499200.

The previous prime is 60164251193. The next prime is 60164251211. The reversal of 60164251200 is 215246106.

60164251200 is a `hidden beast` number, since 6 + 0 + 1 + 642 + 5 + 12 + 0 + 0 = 666.

It is a super-3 number, since 3×60164251200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 761572761 + ... + 761572839.

Almost surely, 2^60164251200 is an apocalyptic number.

60164251200 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 60164251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119898972800).

60164251200 is an abundant number, since it is smaller than the sum of its proper divisors (179633694400).

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

60164251200 is a wasteful number, since it uses less digits than its factorization.

60164251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 60164251200 its reverse (215246106), we get a palindrome (60379497306).

It can be divided in two parts, 60164 and 251200, that added together give a square (311364 = 558²).

The spelling of 60164251200 in words is "sixty billion, one hundred sixty-four million, two hundred fifty-one thousand, two hundred".