1138179994560 has 672 divisors, whose sum is σ = 4914415733760. Its totient is φ = 235745427456.

The previous prime is 1138179994559. The next prime is 1138179994619. The reversal of 1138179994560 is 654999718311.

1138179994560 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 179 + 9 + 9 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8745324 + ... + 8874516.

Almost surely, 2^{1138179994560} is an apocalyptic number.

1138179994560 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 1138179994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457207866880).

1138179994560 is an abundant number, since it is smaller than the sum of its proper divisors (3776235739200).

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

1138179994560 is a wasteful number, since it uses less digits than its factorization.

1138179994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129265 (or 129252 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1138179994560 in words is "one trillion, one hundred thirty-eight billion, one hundred seventy-nine million, nine hundred ninety-four thousand, five hundred sixty".