1138827755520 has 2560 divisors, whose sum is σ = 5371412175360. Its totient is φ = 224227491840.

The previous prime is 1138827755503. The next prime is 1138827755521. The reversal of 1138827755520 is 255577288311.

It is a happy number.

1138827755520 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 82 + 7 + 7 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138827755521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27776286700 + ... + 27776286740.

It is an arithmetic number, because the mean of its divisors is an integer number (2098207881).

Almost surely, 2^{1138827755520} is an apocalyptic number.

1138827755520 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 1138827755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685706087680).

1138827755520 is an abundant number, since it is smaller than the sum of its proper divisors (4232584419840).

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

1138827755520 is an equidigital number, since it uses as much as digits as its factorization.

1138827755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 1138827755520 in words is "one trillion, one hundred thirty-eight billion, eight hundred twenty-seven million, seven hundred fifty-five thousand, five hundred twenty".