870400702080000 has 4400 divisors, whose sum is σ = 4017163215581824. Its totient is φ = 182742220800000.

The previous prime is 870400702079989. The next prime is 870400702080017. The reversal of 870400702080000 is 80207004078.

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 399 ways as a sum of consecutive naturals, for example, 1448254079700 + ... + 1448254080300.

Almost surely, 2^{870400702080000} is an apocalyptic number.

870400702080000 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 870400702080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008581607790912).

870400702080000 is an abundant number, since it is smaller than the sum of its proper divisors (3146762513501824).

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

870400702080000 is a wasteful number, since it uses less digits than its factorization.

870400702080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 870400702080000 its reverse (80207004078), we get a palindrome (870480909084078).

The spelling of 870400702080000 in words is "eight hundred seventy trillion, four hundred billion, seven hundred two million, eighty thousand".