870021734400 has 3024 divisors, whose sum is σ = 4238098610400. Its totient is φ = 173903708160.

The previous prime is 870021734383. The next prime is 870021734431. The reversal of 870021734400 is 4437120078.

It is a happy number.

870021734400 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 217 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 45790617591 + ... + 45790617609.

Almost surely, 2^870021734400 is an apocalyptic number.

870021734400 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 870021734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119049305200).

870021734400 is an abundant number, since it is smaller than the sum of its proper divisors (3368076876000).

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

870021734400 is a wasteful number, since it uses less digits than its factorization.

870021734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 870021734400 its reverse (4437120078), we get a palindrome (874458854478).

The spelling of 870021734400 in words is "eight hundred seventy billion, twenty-one million, seven hundred thirty-four thousand, four hundred".