870902733120 has 448 divisors, whose sum is σ = 3225818856960. Its totient is φ = 194940076032.

The previous prime is 870902733109. The next prime is 870902733121. The reversal of 870902733120 is 21337209078.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870902733121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 218324086 + ... + 218328074.

It is an arithmetic number, because the mean of its divisors is an integer number (7200488520).

Almost surely, 2^870902733120 is an apocalyptic number.

870902733120 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 870902733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612909428480).

870902733120 is an abundant number, since it is smaller than the sum of its proper divisors (2354916123840).

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

870902733120 is a wasteful number, since it uses less digits than its factorization.

870902733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 870902733120 in words is "eight hundred seventy billion, nine hundred two million, seven hundred thirty-three thousand, one hundred twenty".