1138939955100 has 576 divisors, whose sum is σ = 3815215810560. Its totient is φ = 294912576000.

The previous prime is 1138939955093. The next prime is 1138939955117. The reversal of 1138939955100 is 15599398311.

1138939955100 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 9 + 39 + 95 + 510 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2642551885 + ... + 2642552315.

It is an arithmetic number, because the mean of its divisors is an integer number (6623638560).

Almost surely, 2^{1138939955100} is an apocalyptic number.

1138939955100 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 1138939955100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907607905280).

1138939955100 is an abundant number, since it is smaller than the sum of its proper divisors (2676275855460).

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

1138939955100 is a wasteful number, since it uses less digits than its factorization.

1138939955100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The spelling of 1138939955100 in words is "one trillion, one hundred thirty-eight billion, nine hundred thirty-nine million, nine hundred fifty-five thousand, one hundred".