149779409038560 has 720 divisors, whose sum is σ = 596491003901520. Its totient is φ = 34222823792640.

The previous prime is 149779409038361. The next prime is 149779409038579. The reversal of 149779409038560 is 65830904977941.

149779409038560 is a `hidden beast` number, since 1 + 4 + 9 + 77 + 94 + 0 + 90 + 385 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12235874040 + ... + 12235886280.

It is an arithmetic number, because the mean of its divisors is an integer number (828459727641).

Almost surely, 2^{149779409038560} is an apocalyptic number.

149779409038560 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 149779409038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298245501950760).

149779409038560 is an abundant number, since it is smaller than the sum of its proper divisors (446711594862960).

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

149779409038560 is a wasteful number, since it uses less digits than its factorization.

149779409038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 149779409038560 in words is "one hundred forty-nine trillion, seven hundred seventy-nine billion, four hundred nine million, thirty-eight thousand, five hundred sixty".