355179142080000 has 5400 divisors, whose sum is σ = 1613162921105736. Its totient is φ = 77755023360000.

The previous prime is 355179142079981. The next prime is 355179142080001. The reversal of 355179142080000 is 80241971553.

355179142080000 is a `hidden beast` number, since 3 + 5 + 517 + 91 + 42 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355179142080001) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 3661640639952 + ... + 3661640640048.

Almost surely, 2^{355179142080000} is an apocalyptic number.

355179142080000 is a gapful number since it is divisible by the number (30) 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 355179142080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806581460552868).

355179142080000 is an abundant number, since it is smaller than the sum of its proper divisors (1257983779025736).

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

355179142080000 is an frugal number, since it uses more digits than its factorization.

355179142080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 355179142080000 in words is "three hundred fifty-five trillion, one hundred seventy-nine billion, one hundred forty-two million, eighty thousand".