1053148236480 has 672 divisors, whose sum is σ = 3958631599104. Its totient is φ = 265974534144.

The previous prime is 1053148236449. The next prime is 1053148236559. The reversal of 1053148236480 is 846328413501.

1053148236480 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 148 + 23 + 6 + 480 = 666.

It is a super-2 number, since 2×1053148236480² (a number of 25 digits) contains 22 as substring.

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, 184210582 + ... + 184216298.

It is an arithmetic number, because the mean of its divisors is an integer number (5890820832).

Almost surely, 2^{1053148236480} is an apocalyptic number.

1053148236480 is a gapful number since it is divisible by the number (10) 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 1053148236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979315799552).

1053148236480 is an abundant number, since it is smaller than the sum of its proper divisors (2905483362624).

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

1053148236480 is a wasteful number, since it uses less digits than its factorization.

1053148236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1053148236480 in words is "one trillion, fifty-three billion, one hundred forty-eight million, two hundred thirty-six thousand, four hundred eighty".