1053867397248 has 320 divisors, whose sum is σ = 3175627455000. Its totient is φ = 346911621120.

The previous prime is 1053867397241. The next prime is 1053867397321. The reversal of 1053867397248 is 8427937683501.

1053867397248 is a `hidden beast` number, since 1 + 0 + 5 + 386 + 7 + 3 + 9 + 7 + 248 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 541566471744 + 512300925504 = 735912^2 + 715752^2 .

It is a super-2 number, since 2×1053867397248² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053867397241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279612708 + ... + 279616476.

It is a 1-persistent number, because it is pandigital, but 2⋅1053867397248 = 2107734794496 is not.

Almost surely, 2^{1053867397248} is an apocalyptic number.

1053867397248 is a gapful number since it is divisible by the number (18) 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 1053867397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587813727500).

1053867397248 is an abundant number, since it is smaller than the sum of its proper divisors (2121760057752).

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

1053867397248 is a wasteful number, since it uses less digits than its factorization.

1053867397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1053867397248 in words is "one trillion, fifty-three billion, eight hundred sixty-seven million, three hundred ninety-seven thousand, two hundred forty-eight".