870651763200 has 1200 divisors, whose sum is σ = 3487804873344. Its totient is φ = 213663744000.

The previous prime is 870651763199. The next prime is 870651763211. The reversal of 870651763200 is 2367156078.

870651763200 is a `hidden beast` number, since 8 + 7 + 0 + 6 + 5 + 1 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 828402675 + ... + 828403725.

Almost surely, 2^870651763200 is an apocalyptic number.

870651763200 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 870651763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743902436672).

870651763200 is an abundant number, since it is smaller than the sum of its proper divisors (2617153110144).

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

870651763200 is a wasteful number, since it uses less digits than its factorization.

870651763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 870651763200 in words is "eight hundred seventy billion, six hundred fifty-one million, seven hundred sixty-three thousand, two hundred".