60468082053120 has 1872 divisors, whose sum is σ = 256690468577088. Its totient is φ = 13611309465600.

The previous prime is 60468082053103. The next prime is 60468082053133. The reversal of 60468082053120 is 2135028086406.

60468082053120 is a `hidden beast` number, since 60 + 468 + 0 + 8 + 2 + 0 + 5 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16338307270 + ... + 16338310970.

It is an arithmetic number, because the mean of its divisors is an integer number (137120976804).

Almost surely, 2^{60468082053120} is an apocalyptic number.

60468082053120 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 60468082053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128345234288544).

60468082053120 is an abundant number, since it is smaller than the sum of its proper divisors (196222386523968).

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

60468082053120 is an equidigital number, since it uses as much as digits as its factorization.

60468082053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 60468082053120 in words is "sixty trillion, four hundred sixty-eight billion, eighty-two million, fifty-three thousand, one hundred twenty".