855511493760 has 1536 divisors, whose sum is σ = 3970413158400. Its totient is φ = 171976089600.

The previous prime is 855511493597. The next prime is 855511493777. The reversal of 855511493760 is 67394115558.

855511493760 is a `hidden beast` number, since 8 + 5 + 551 + 14 + 9 + 3 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 855511493697 and 855511493706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288730039 + ... + 288733001.

It is an arithmetic number, because the mean of its divisors is an integer number (2584904400).

Almost surely, 2^855511493760 is an apocalyptic number.

855511493760 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 855511493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985206579200).

855511493760 is an abundant number, since it is smaller than the sum of its proper divisors (3114901664640).

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

855511493760 is a wasteful number, since it uses less digits than its factorization.

855511493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 855511493760 in words is "eight hundred fifty-five billion, five hundred eleven million, four hundred ninety-three thousand, seven hundred sixty".