201160766400 has 336 divisors, whose sum is σ = 720710621568. Its totient is φ = 48716288000.

The previous prime is 201160766399. The next prime is 201160766413. The reversal of 201160766400 is 4667061102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101955814 + ... + 101957786.

It is an arithmetic number, because the mean of its divisors is an integer number (2144972088).

Almost surely, 2^201160766400 is an apocalyptic number.

201160766400 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 201160766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360355310784).

201160766400 is an abundant number, since it is smaller than the sum of its proper divisors (519549855168).

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

201160766400 is a wasteful number, since it uses less digits than its factorization.

201160766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 201160766400 in words is "two hundred one billion, one hundred sixty million, seven hundred sixty-six thousand, four hundred".