201178080000 has 1350 divisors, whose sum is σ = 809533744404. Its totient is φ = 49641984000.

The previous prime is 201178079953. The next prime is 201178080001. The reversal of 201178080000 is 80871102.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201178080001) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 4678559979 + ... + 4678560021.

Almost surely, 2^201178080000 is an apocalyptic number.

201178080000 is a gapful number since it is divisible by the number (20) 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 201178080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404766872202).

201178080000 is an abundant number, since it is smaller than the sum of its proper divisors (608355664404).

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

201178080000 is an frugal number, since it uses more digits than its factorization.

201178080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 201178080000 in words is "two hundred one billion, one hundred seventy-eight million, eighty thousand".