60811779358080 has 384 divisors, whose sum is σ = 214449637933440. Its totient is φ = 15873553612800.

The previous prime is 60811779358069. The next prime is 60811779358093. The reversal of 60811779358080 is 8085397711806.

60811779358080 is a `hidden beast` number, since 60 + 81 + 1 + 7 + 79 + 358 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×60811779358080² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 60811779357999 and 60811779358017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131344590 + ... + 131806770.

It is an arithmetic number, because the mean of its divisors is an integer number (558462598785).

Almost surely, 2^{60811779358080} is an apocalyptic number.

60811779358080 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 60811779358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107224818966720).

60811779358080 is an abundant number, since it is smaller than the sum of its proper divisors (153637858575360).

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

60811779358080 is a wasteful number, since it uses less digits than its factorization.

60811779358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462690 (or 462675 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 60811779358080 in words is "sixty trillion, eight hundred eleven billion, seven hundred seventy-nine million, three hundred fifty-eight thousand, eighty".