1801621179072 has 1344 divisors, whose sum is σ = 6712380702720. Its totient is φ = 469038366720.

The previous prime is 1801621179019. The next prime is 1801621179073. The reversal of 1801621179072 is 2709711261081.

It is a happy number.

1801621179072 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 621 + 17 + 9 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1801621179073) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5868472743 + ... + 5868473049.

It is an arithmetic number, because the mean of its divisors is an integer number (4994330880).

Almost surely, 2^{1801621179072} is an apocalyptic number.

1801621179072 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 1801621179072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356190351360).

1801621179072 is an abundant number, since it is smaller than the sum of its proper divisors (4910759523648).

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

1801621179072 is a wasteful number, since it uses less digits than its factorization.

1801621179072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1801621179072 in words is "one trillion, eight hundred one billion, six hundred twenty-one million, one hundred seventy-nine thousand, seventy-two".