854978604480 has 3584 divisors, whose sum is σ = 4398015283200. Its totient is φ = 151747706880.

The previous prime is 854978604463. The next prime is 854978604481. The reversal of 854978604480 is 84406879458.

854978604480 is a `hidden beast` number, since 8 + 5 + 4 + 97 + 8 + 60 + 4 + 480 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 854978604480 = 3168³ + 9372³ = 4796³ + 9064³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854978604481) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19883223339 + ... + 19883223381.

It is an arithmetic number, because the mean of its divisors is an integer number (1227124800).

Almost surely, 2^854978604480 is an apocalyptic number.

854978604480 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 854978604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199007641600).

854978604480 is an abundant number, since it is smaller than the sum of its proper divisors (3543036678720).

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

854978604480 is a wasteful number, since it uses less digits than its factorization.

854978604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 854978604480 in words is "eight hundred fifty-four billion, nine hundred seventy-eight million, six hundred four thousand, four hundred eighty".