1138742755920 has 720 divisors, whose sum is σ = 4911682007232. Its totient is φ = 233764392960.

The previous prime is 1138742755789. The next prime is 1138742756027. The reversal of 1138742755920 is 295572478311.

1138742755920 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 7 + 42 + 7 + 5 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32192964 + ... + 32228316.

Almost surely, 2^{1138742755920} is an apocalyptic number.

1138742755920 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 1138742755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455841003616).

1138742755920 is an abundant number, since it is smaller than the sum of its proper divisors (3772939251312).

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

1138742755920 is a wasteful number, since it uses less digits than its factorization.

1138742755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35480 (or 35464 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1138742755920 in words is "one trillion, one hundred thirty-eight billion, seven hundred forty-two million, seven hundred fifty-five thousand, nine hundred twenty".