872435409120 has 240 divisors, whose sum is σ = 3358876873968. Its totient is φ = 211499458560.

The previous prime is 872435409119. The next prime is 872435409137. The reversal of 872435409120 is 21904534278.

872435409120 is a `hidden beast` number, since 8 + 72 + 435 + 40 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×872435409120² (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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2917329 + ... + 3202448.

Almost surely, 2^872435409120 is an apocalyptic number.

872435409120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872435409120 is an abundant number, since it is smaller than the sum of its proper divisors (2486441464848).

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

872435409120 is a wasteful number, since it uses less digits than its factorization.

872435409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119815 (or 6119798 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 872435409120 in words is "eight hundred seventy-two billion, four hundred thirty-five million, four hundred nine thousand, one hundred twenty".