853780506480 has 800 divisors, whose sum is σ = 3410004692160. Its totient is φ = 196044226560.

The previous prime is 853780506443. The next prime is 853780506497. The reversal of 853780506480 is 84605087358.

853780506480 is a `hidden beast` number, since 8 + 5 + 37 + 80 + 50 + 6 + 480 = 666.

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 159 ways as a sum of consecutive naturals, for example, 109553464 + ... + 109561256.

Almost surely, 2^853780506480 is an apocalyptic number.

853780506480 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 853780506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705002346080).

853780506480 is an abundant number, since it is smaller than the sum of its proper divisors (2556224185680).

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

853780506480 is a wasteful number, since it uses less digits than its factorization.

853780506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 853780506480 in words is "eight hundred fifty-three billion, seven hundred eighty million, five hundred six thousand, four hundred eighty".