1138201998560 has 96 divisors (see below), whose sum is σ = 3001677098112. Its totient is φ = 404266222080.

The previous prime is 1138201998481. The next prime is 1138201998569. The reversal of 1138201998560 is 658991028311.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138201998569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7444154 + ... + 7595513.

It is an arithmetic number, because the mean of its divisors is an integer number (31267469772).

Almost surely, 2^{1138201998560} is an apocalyptic number.

1138201998560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138201998560 is an abundant number, since it is smaller than the sum of its proper divisors (1863475099552).

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

1138201998560 is a wasteful number, since it uses less digits than its factorization.

1138201998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15039736 (or 15039728 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 53.

The spelling of 1138201998560 in words is "one trillion, one hundred thirty-eight billion, two hundred one million, nine hundred ninety-eight thousand, five hundred sixty".