60351456704400 has 225 divisors, whose sum is σ = 216601553781921. Its totient is φ = 16093348894080.

The previous prime is 60351456704393. The next prime is 60351456704411. The reversal of 60351456704400 is 440765415306.

The square root of 60351456704400 is 7768620.

It is a perfect power (a square), and thus also a powerful number.

60351456704400 is a `hidden beast` number, since 6 + 0 + 3 + 5 + 145 + 67 + 0 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21726524413584 + 38624932290816 = 4661172^2 + 6214896^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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 44 ways as a sum of consecutive naturals, for example, 1398330021 + ... + 1398373179.

Almost surely, 2^{60351456704400} is an apocalyptic number.

60351456704400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60351456704400 is the 7768620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60351456704400

60351456704400 is an abundant number, since it is smaller than the sum of its proper divisors (156250097077521).

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

60351456704400 is an frugal number, since it uses more digits than its factorization.

60351456704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86348 (or 43169 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 60351456704400 in words is "sixty trillion, three hundred fifty-one billion, four hundred fifty-six million, seven hundred four thousand, four hundred".