60930798796800 has 2160 divisors, whose sum is σ = 238528493199360. Its totient is φ = 14817275412480.

The previous prime is 60930798796787. The next prime is 60930798796831. The reversal of 60930798796800 is 869789703906.

60930798796800 is a `hidden beast` number, since 609 + 3 + 0 + 7 + 9 + 8 + 7 + 9 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×60930798796800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273232281489 + ... + 273232281711.

Almost surely, 2^{60930798796800} is an apocalyptic number.

60930798796800 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 60930798796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119264246599680).

60930798796800 is an abundant number, since it is smaller than the sum of its proper divisors (177597694402560).

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

60930798796800 is a wasteful number, since it uses less digits than its factorization.

60930798796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 60930798796800 in words is "sixty trillion, nine hundred thirty billion, seven hundred ninety-eight million, seven hundred ninety-six thousand, eight hundred".