21801761039232 has 384 divisors, whose sum is σ = 67303631366400. Its totient is φ = 6753758330880.

The previous prime is 21801761039231. The next prime is 21801761039329. The reversal of 21801761039232 is 23293016710812.

It is a happy number.

21801761039232 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 1 + 7 + 610 + 3 + 9 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21801761039231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353394693 + ... + 353456379.

It is an arithmetic number, because the mean of its divisors is an integer number (175269873350).

Almost surely, 2^{21801761039232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21801761039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33651815683200).

21801761039232 is an abundant number, since it is smaller than the sum of its proper divisors (45501870327168).

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

21801761039232 is a wasteful number, since it uses less digits than its factorization.

21801761039232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62034 (or 62019 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21801761039232 in words is "twenty-one trillion, eight hundred one billion, seven hundred sixty-one million, thirty-nine thousand, two hundred thirty-two".