1801971265632 has 96 divisors (see below), whose sum is σ = 4989357676800. Its totient is φ = 567874810368.

The previous prime is 1801971265609. The next prime is 1801971265657. The reversal of 1801971265632 is 2365621791081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126007 + ... + 1902582.

It is an arithmetic number, because the mean of its divisors is an integer number (51972475800).

Almost surely, 2^{1801971265632} is an apocalyptic number.

1801971265632 is a gapful number since it is divisible by the number (12) 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 1801971265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494678838400).

1801971265632 is an abundant number, since it is smaller than the sum of its proper divisors (3187386411168).

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

1801971265632 is a wasteful number, since it uses less digits than its factorization.

1801971265632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029108 (or 2029100 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1801971265632 in words is "one trillion, eight hundred one billion, nine hundred seventy-one million, two hundred sixty-five thousand, six hundred thirty-two".