854948036160 has 896 divisors, whose sum is σ = 3178210560000. Its totient is φ = 216137465856.

The previous prime is 854948036149. The next prime is 854948036161. The reversal of 854948036160 is 61630849458.

854948036160 is a `hidden beast` number, since 8 + 5 + 49 + 480 + 3 + 61 + 60 = 666.

It is a super-2 number, since 2×854948036160² (a number of 25 digits) contains 22 as substring.

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 = 854948036097 and 854948036106.

It is not an unprimeable number, because it can be changed into a prime (854948036161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2449707666 + ... + 2449708014.

It is an arithmetic number, because the mean of its divisors is an integer number (3547110000).

Almost surely, 2^854948036160 is an apocalyptic number.

854948036160 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 854948036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589105280000).

854948036160 is an abundant number, since it is smaller than the sum of its proper divisors (2323262523840).

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

854948036160 is a wasteful number, since it uses less digits than its factorization.

854948036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 854948036160 in words is "eight hundred fifty-four billion, nine hundred forty-eight million, thirty-six thousand, one hundred sixty".