1011355484160 has 912 divisors, whose sum is σ = 3916046403360. Its totient is φ = 221962567680.

The previous prime is 1011355484147. The next prime is 1011355484201. The reversal of 1011355484160 is 614845531101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5587599270 + ... + 5587599450.

It is an arithmetic number, because the mean of its divisors is an integer number (4293910530).

Almost surely, 2^{1011355484160} is an apocalyptic number.

1011355484160 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 1011355484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958023201680).

1011355484160 is an abundant number, since it is smaller than the sum of its proper divisors (2904690919200).

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

1011355484160 is an frugal number, since it uses more digits than its factorization.

1011355484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1011355484160 in words is "one trillion, eleven billion, three hundred fifty-five million, four hundred eighty-four thousand, one hundred sixty".