870644055223800 has 1152 divisors, whose sum is σ = 3615482741794560. Its totient is φ = 191921434214400.

The previous prime is 870644055223771. The next prime is 870644055223807. The reversal of 870644055223800 is 8322550446078.

870644055223800 is a `hidden beast` number, since 8 + 7 + 0 + 6 + 4 + 4 + 0 + 552 + 2 + 3 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870644055223807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 464701704 + ... + 466571496.

It is an arithmetic number, because the mean of its divisors is an integer number (3138439880030).

Almost surely, 2^{870644055223800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870644055223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807741370897280).

870644055223800 is an abundant number, since it is smaller than the sum of its proper divisors (2744838686570760).

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

870644055223800 is a wasteful number, since it uses less digits than its factorization.

870644055223800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869915 (or 1869894 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 870644055223800 in words is "eight hundred seventy trillion, six hundred forty-four billion, fifty-five million, two hundred twenty-three thousand, eight hundred".