855536048640 has 2880 divisors, whose sum is σ = 4107841081344. Its totient is φ = 168552824832.

The previous prime is 855536048639. The next prime is 855536048659. The reversal of 855536048640 is 46840635558.

855536048640 is a `hidden beast` number, since 8 + 5 + 5 + 536 + 0 + 48 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6736504257 + ... + 6736504383.

Almost surely, 2^855536048640 is an apocalyptic number.

855536048640 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 855536048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053920540672).

855536048640 is an abundant number, since it is smaller than the sum of its proper divisors (3252305032704).

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

855536048640 is a wasteful number, since it uses less digits than its factorization.

855536048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 855536048640 in words is "eight hundred fifty-five billion, five hundred thirty-six million, forty-eight thousand, six hundred forty".