1138530173840 has 80 divisors (see below), whose sum is σ = 2667429690240. Its totient is φ = 451914716160.

The previous prime is 1138530173791. The next prime is 1138530173849. The reversal of 1138530173840 is 483710358311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1138530173791 and 1138530173800.

It is not an unprimeable number, because it can be changed into a prime (1138530173849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23739485 + ... + 23787395.

It is an arithmetic number, because the mean of its divisors is an integer number (33342871128).

Almost surely, 2^{1138530173840} is an apocalyptic number.

1138530173840 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 1138530173840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333714845120).

1138530173840 is an abundant number, since it is smaller than the sum of its proper divisors (1528899516400).

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

1138530173840 is a wasteful number, since it uses less digits than its factorization.

1138530173840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50200 (or 50194 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 1138530173840 in words is "one trillion, one hundred thirty-eight billion, five hundred thirty million, one hundred seventy-three thousand, eight hundred forty".