870180904320 has 1024 divisors, whose sum is σ = 3550359859200. Its totient is φ = 176323166208.

The previous prime is 870180904223. The next prime is 870180904339. The reversal of 870180904320 is 23409081078.

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

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 127 ways as a sum of consecutive naturals, for example, 1332589114 + ... + 1332589766.

It is an arithmetic number, because the mean of its divisors is an integer number (3467148300).

Almost surely, 2^870180904320 is an apocalyptic number.

870180904320 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 870180904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775179929600).

870180904320 is an abundant number, since it is smaller than the sum of its proper divisors (2680178954880).

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

870180904320 is a wasteful number, since it uses less digits than its factorization.

870180904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

Adding to 870180904320 its reverse (23409081078), we get a palindrome (893589985398).

It can be divided in two parts, 870 and 180904320, that multiplied together give a square (157386758400 = 396720²).

The spelling of 870180904320 in words is "eight hundred seventy billion, one hundred eighty million, nine hundred four thousand, three hundred twenty".