1601134534200 has 192 divisors, whose sum is σ = 4982910760800. Its totient is φ = 425304064000.

The previous prime is 1601134534151. The next prime is 1601134534261. The reversal of 1601134534200 is 24354311061.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 185979496 + ... + 185988104.

Almost surely, 2^{1601134534200} is an apocalyptic number.

1601134534200 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 1601134534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491455380400).

1601134534200 is an abundant number, since it is smaller than the sum of its proper divisors (3381776226600).

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

1601134534200 is a wasteful number, since it uses less digits than its factorization.

1601134534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9802 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1601134534200 its reverse (24354311061), we get a palindrome (1625488845261).

The spelling of 1601134534200 in words is "one trillion, six hundred one billion, one hundred thirty-four million, five hundred thirty-four thousand, two hundred".