60253714280448 has 2184 divisors, whose sum is σ = 213327439473456. Its totient is φ = 16893503078400.

The previous prime is 60253714280423. The next prime is 60253714280449. The reversal of 60253714280448 is 84408241735206.

60253714280448 is a `hidden beast` number, since 6 + 0 + 2 + 53 + 7 + 142 + 8 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 60253714280394 and 60253714280403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60253714280449) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 459952017343 + ... + 459952017473.

Almost surely, 2^{60253714280448} is an apocalyptic number.

60253714280448 is a gapful number since it is divisible by the number (68) 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 60253714280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106663719736728).

60253714280448 is an abundant number, since it is smaller than the sum of its proper divisors (153073725193008).

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

60253714280448 is a wasteful number, since it uses less digits than its factorization.

60253714280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 60253714280448 in words is "sixty trillion, two hundred fifty-three billion, seven hundred fourteen million, two hundred eighty thousand, four hundred forty-eight".