60566434214400 has 960 divisors, whose sum is σ = 230382878837760. Its totient is φ = 15568522444800.

The previous prime is 60566434214291. The next prime is 60566434214413. The reversal of 60566434214400 is 441243466506.

60566434214400 is a `hidden beast` number, since 6 + 0 + 566 + 4 + 3 + 42 + 1 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 2753384202 + ... + 2753406198.

It is an arithmetic number, because the mean of its divisors is an integer number (239982165456).

Almost surely, 2^{60566434214400} is an apocalyptic number.

60566434214400 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 60566434214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115191439418880).

60566434214400 is an abundant number, since it is smaller than the sum of its proper divisors (169816444623360).

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

60566434214400 is a wasteful number, since it uses less digits than its factorization.

60566434214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22322 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 60566434214400 in words is "sixty trillion, five hundred sixty-six billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred".