1601181953280 has 2160 divisors, whose sum is σ = 7171005515856. Its totient is φ = 327741603840.

The previous prime is 1601181953279. The next prime is 1601181953297. The reversal of 1601181953280 is 823591811061.

1601181953280 is a `hidden beast` number, since 1 + 60 + 1 + 181 + 95 + 328 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 415313224704 + 1185868728576 = 644448^2 + 1088976^2 .

It is a super-2 number, since 2×1601181953280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21933999324 + ... + 21933999396.

Almost surely, 2^{1601181953280} is an apocalyptic number.

1601181953280 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 1601181953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585502757928).

1601181953280 is an abundant number, since it is smaller than the sum of its proper divisors (5569823562576).

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

1601181953280 is an equidigital number, since it uses as much as digits as its factorization.

1601181953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1601181953280 in words is "one trillion, six hundred one billion, one hundred eighty-one million, nine hundred fifty-three thousand, two hundred eighty".