870378224352 has 288 divisors, whose sum is σ = 2830645827072. Its totient is φ = 229290227712.

The previous prime is 870378224327. The next prime is 870378224423. The reversal of 870378224352 is 253422873078.

870378224352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×870378224352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 870378224295 and 870378224304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113223453 + ... + 113231139.

It is an arithmetic number, because the mean of its divisors is an integer number (9828631344).

Almost surely, 2^870378224352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870378224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415322913536).

870378224352 is an abundant number, since it is smaller than the sum of its proper divisors (1960267602720).

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

870378224352 is a wasteful number, since it uses less digits than its factorization.

870378224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 870378224352 in words is "eight hundred seventy billion, three hundred seventy-eight million, two hundred twenty-four thousand, three hundred fifty-two".