874435943560000 has 280 divisors, whose sum is σ = 2235199640188680. Its totient is φ = 339055727616000.

The previous prime is 874435943559989. The next prime is 874435943560013. The reversal of 874435943560000 is 65349534478.

It can be written as a sum of positive squares in 20 ways, for example, as 751864296980736 + 122571646579264 = 27420144^2 + 11071208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397021794 + ... + 399218206.

Almost surely, 2^{874435943560000} is an apocalyptic number.

874435943560000 is a gapful number since it is divisible by the number (80) 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 874435943560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117599820094340).

874435943560000 is an abundant number, since it is smaller than the sum of its proper divisors (1360763696628680).

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

874435943560000 is a wasteful number, since it uses less digits than its factorization.

874435943560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196751 (or 2196726 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 874435943560000 in words is "eight hundred seventy-four trillion, four hundred thirty-five billion, nine hundred forty-three million, five hundred sixty thousand".