202061160000 has 840 divisors, whose sum is σ = 833570721984. Its totient is φ = 45826560000.

The previous prime is 202061159983. The next prime is 202061160011. The reversal of 202061160000 is 61160202.

It is a happy number.

202061160000 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 61 + 1 + 600 + 0 + 0 = 666.

202061160000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 456119779 + ... + 456120221.

Almost surely, 2^202061160000 is an apocalyptic number.

202061160000 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 202061160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785360992).

202061160000 is an abundant number, since it is smaller than the sum of its proper divisors (631509561984).

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

202061160000 is a wasteful number, since it uses less digits than its factorization.

202061160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 202061160000 in words is "two hundred two billion, sixty-one million, one hundred sixty thousand".