60287492413440 has 288 divisors, whose sum is σ = 211590522561600. Its totient is φ = 15873160642560.

The previous prime is 60287492413439. The next prime is 60287492413451. The reversal of 60287492413440 is 4431429478206.

60287492413440 is a `hidden beast` number, since 6 + 0 + 2 + 8 + 74 + 92 + 41 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3140380 + ... + 11420900.

It is an arithmetic number, because the mean of its divisors is an integer number (734689314450).

Almost surely, 2^{60287492413440} is an apocalyptic number.

60287492413440 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 60287492413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105795261280800).

60287492413440 is an abundant number, since it is smaller than the sum of its proper divisors (151303030148160).

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

60287492413440 is a wasteful number, since it uses less digits than its factorization.

60287492413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280633 (or 8280610 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 60287492413440 in words is "sixty trillion, two hundred eighty-seven billion, four hundred ninety-two million, four hundred thirteen thousand, four hundred forty".