870611349510 has 384 divisors, whose sum is σ = 2800198342656. Its totient is φ = 183361812480.

The previous prime is 870611349431. The next prime is 870611349523. The reversal of 870611349510 is 15943116078.

870611349510 is a `hidden beast` number, since 8 + 70 + 61 + 1 + 3 + 4 + 9 + 510 = 666.

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 191 ways as a sum of consecutive naturals, for example, 45474540 + ... + 45493680.

It is an arithmetic number, because the mean of its divisors is an integer number (7292183184).

Almost surely, 2^870611349510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870611349510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400099171328).

870611349510 is an abundant number, since it is smaller than the sum of its proper divisors (1929586993146).

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

870611349510 is a wasteful number, since it uses less digits than its factorization.

870611349510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300 (or 19297 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 870611349510 in words is "eight hundred seventy billion, six hundred eleven million, three hundred forty-nine thousand, five hundred ten".