1053811284160 has 112 divisors (see below), whose sum is σ = 2620131123456. Its totient is φ = 402944965632.

The previous prime is 1053811284151. The next prime is 1053811284199. The reversal of 1053811284160 is 614821183501.

It is a super-2 number, since 2×1053811284160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11930719 + ... + 12018721.

It is an arithmetic number, because the mean of its divisors is an integer number (23394027888).

Almost surely, 2^{1053811284160} is an apocalyptic number.

1053811284160 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 1053811284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310065561728).

1053811284160 is an abundant number, since it is smaller than the sum of its proper divisors (1566319839296).

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

1053811284160 is a wasteful number, since it uses less digits than its factorization.

1053811284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89670 (or 89660 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 1053811284160 in words is "one trillion, fifty-three billion, eight hundred eleven million, two hundred eighty-four thousand, one hundred sixty".