1601901100800 has 3780 divisors, whose sum is σ = 8147514582984. Its totient is φ = 307257753600.

The previous prime is 1601901100757. The next prime is 1601901100817. The reversal of 1601901100800 is 80011091061.

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 123223161594 + ... + 123223161606.

Almost surely, 2^{1601901100800} is an apocalyptic number.

1601901100800 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 1601901100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073757291492).

1601901100800 is an abundant number, since it is smaller than the sum of its proper divisors (6545613482184).

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

1601901100800 is an frugal number, since it uses more digits than its factorization.

1601901100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 1601901100800 its reverse (80011091061), we get a palindrome (1681912191861).

The spelling of 1601901100800 in words is "one trillion, six hundred one billion, nine hundred one million, one hundred thousand, eight hundred".