854005070880 has 672 divisors, whose sum is σ = 3370196334960. Its totient is φ = 202957332480.

The previous prime is 854005070839. The next prime is 854005070903. The reversal of 854005070880 is 88070500458.

It can be written as a sum of positive squares in 8 ways, for example, as 483898314384 + 370106756496 = 695628^2 + 608364^2 .

It is a super-2 number, since 2×854005070880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43963570 + ... + 43982990.

Almost surely, 2^854005070880 is an apocalyptic number.

854005070880 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 854005070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685098167480).

854005070880 is an abundant number, since it is smaller than the sum of its proper divisors (2516191264080).

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

854005070880 is a wasteful number, since it uses less digits than its factorization.

854005070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 854005070880 in words is "eight hundred fifty-four billion, five million, seventy thousand, eight hundred eighty".