60949303615200 has 2304 divisors, whose sum is σ = 278934051078144. Its totient is φ = 11142763315200.

The previous prime is 60949303615159. The next prime is 60949303615201. The reversal of 60949303615200 is 251630394906.

It is a super-2 number, since 2×60949303615200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60949303615200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60949303615201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16963344604 + ... + 16963348196.

It is an arithmetic number, because the mean of its divisors is an integer number (121065126336).

Almost surely, 2^{60949303615200} is an apocalyptic number.

60949303615200 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 60949303615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139467025539072).

60949303615200 is an abundant number, since it is smaller than the sum of its proper divisors (217984747462944).

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

60949303615200 is a wasteful number, since it uses less digits than its factorization.

60949303615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 60949303615200 in words is "sixty trillion, nine hundred forty-nine billion, three hundred three million, six hundred fifteen thousand, two hundred".