855629416212480 has 5760 divisors, whose sum is σ = 4091421672898560. Its totient is φ = 166972403220480.

The previous prime is 855629416212479. The next prime is 855629416212583. The reversal of 855629416212480 is 84212614926558.

855629416212480 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 2 + 94 + 1 + 62 + 1 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 699615221149 + ... + 699615222371.

It is an arithmetic number, because the mean of its divisors is an integer number (710316262656).

Almost surely, 2^{855629416212480} is an apocalyptic number.

855629416212480 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 855629416212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045710836449280).

855629416212480 is an abundant number, since it is smaller than the sum of its proper divisors (3235792256686080).

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

855629416212480 is a wasteful number, since it uses less digits than its factorization.

855629416212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 855629416212480 in words is "eight hundred fifty-five trillion, six hundred twenty-nine billion, four hundred sixteen million, two hundred twelve thousand, four hundred eighty".