1053155748960 has 768 divisors, whose sum is σ = 4304859955200. Its totient is φ = 235491121152.

The previous prime is 1053155748959. The next prime is 1053155748977. The reversal of 1053155748960 is 698475513501.

1053155748960 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 5 + 574 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×1053155748960² (a number of 25 digits) contains 22 as substring.

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 = 1053155748897 and 1053155748906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397866357 + ... + 397869003.

It is an arithmetic number, because the mean of its divisors is an integer number (5605286400).

Almost surely, 2^{1053155748960} is an apocalyptic number.

1053155748960 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 1053155748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152429977600).

1053155748960 is an abundant number, since it is smaller than the sum of its proper divisors (3251704206240).

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

1053155748960 is a wasteful number, since it uses less digits than its factorization.

1053155748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1053155748960 in words is "one trillion, fifty-three billion, one hundred fifty-five million, seven hundred forty-eight thousand, nine hundred sixty".