1138491751680 has 432 divisors, whose sum is σ = 4175765141184. Its totient is φ = 285397155840.

The previous prime is 1138491751591. The next prime is 1138491751699. The reversal of 1138491751680 is 861571948311.

1138491751680 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 49 + 1 + 7 + 516 + 80 = 666.

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, 190157647 + ... + 190163633.

It is an arithmetic number, because the mean of its divisors is an integer number (9666123012).

Almost surely, 2^{1138491751680} is an apocalyptic number.

1138491751680 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 1138491751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087882570592).

1138491751680 is an abundant number, since it is smaller than the sum of its proper divisors (3037273389504).

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

1138491751680 is a wasteful number, since it uses less digits than its factorization.

1138491751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1138491751680 in words is "one trillion, one hundred thirty-eight billion, four hundred ninety-one million, seven hundred fifty-one thousand, six hundred eighty".