853459770240 has 1024 divisors, whose sum is σ = 3786331392000. Its totient is φ = 176504832000.

The previous prime is 853459770227. The next prime is 853459770253. The reversal of 853459770240 is 42077954358.

It is a happy number.

853459770240 is a `hidden beast` number, since 8 + 5 + 3 + 4 + 597 + 7 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (853459770227) and next prime (853459770253).

It is a super-2 number, since 2×853459770240² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304696840 + ... + 304699640.

It is an arithmetic number, because the mean of its divisors is an integer number (3697589250).

Almost surely, 2^853459770240 is an apocalyptic number.

853459770240 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 853459770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893165696000).

853459770240 is an abundant number, since it is smaller than the sum of its proper divisors (2932871621760).

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

853459770240 is a wasteful number, since it uses less digits than its factorization.

853459770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 853459770240 in words is "eight hundred fifty-three billion, four hundred fifty-nine million, seven hundred seventy thousand, two hundred forty".