60933600066960 has 320 divisors, whose sum is σ = 218797901752320. Its totient is φ = 15569107200000.

The previous prime is 60933600066923. The next prime is 60933600066973. The reversal of 60933600066960 is 6966000633906.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 60933600066897 and 60933600066906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258010 + ... + 11267910.

It is an arithmetic number, because the mean of its divisors is an integer number (683743442976).

Almost surely, 2^{60933600066960} is an apocalyptic number.

60933600066960 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 60933600066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109398950876160).

60933600066960 is an abundant number, since it is smaller than the sum of its proper divisors (157864301685360).

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

60933600066960 is a wasteful number, since it uses less digits than its factorization.

60933600066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010055 (or 9010043 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 60933600066960 in words is "sixty trillion, nine hundred thirty-three billion, six hundred million, sixty-six thousand, nine hundred sixty".