1018891581120 has 336 divisors, whose sum is σ = 4007693401920. Its totient is φ = 232745361408.

The previous prime is 1018891581101. The next prime is 1018891581133. The reversal of 1018891581120 is 211851988101.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 34438654 + ... + 34468226.

Almost surely, 2^{1018891581120} is an apocalyptic number.

1018891581120 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 1018891581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003846700960).

1018891581120 is an abundant number, since it is smaller than the sum of its proper divisors (2988801820800).

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

1018891581120 is a wasteful number, since it uses less digits than its factorization.

1018891581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31312 (or 31299 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 45.

The spelling of 1018891581120 in words is "one trillion, eighteen billion, eight hundred ninety-one million, five hundred eighty-one thousand, one hundred twenty".