856396800000 has 1680 divisors, whose sum is σ = 3716655243840. Its totient is φ = 192430080000.

The previous prime is 856396799957. The next prime is 856396800023. The reversal of 856396800000 is 8693658.

856396800000 is a `hidden beast` number, since 8 + 5 + 639 + 6 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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, 14515199971 + ... + 14515200029.

It is an arithmetic number, because the mean of its divisors is an integer number (2212294788).

Almost surely, 2^856396800000 is an apocalyptic number.

856396800000 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 856396800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858327621920).

856396800000 is an abundant number, since it is smaller than the sum of its proper divisors (2860258443840).

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

856396800000 is an frugal number, since it uses more digits than its factorization.

856396800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 856396800000 in words is "eight hundred fifty-six billion, three hundred ninety-six million, eight hundred thousand".