853047954528 has 384 divisors, whose sum is σ = 2836200407040. Its totient is φ = 218073323520.

The previous prime is 853047954527. The next prime is 853047954529. The reversal of 853047954528 is 825459740358.

853047954528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (853047954527) and next prime (853047954529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853047954527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127146438 + ... + 127153146.

It is an arithmetic number, because the mean of its divisors is an integer number (7385938560).

Almost surely, 2^853047954528 is an apocalyptic number.

853047954528 is a gapful number since it is divisible by the number (88) 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 853047954528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418100203520).

853047954528 is an abundant number, since it is smaller than the sum of its proper divisors (1983152452512).

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

853047954528 is a wasteful number, since it uses less digits than its factorization.

853047954528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 853047954528 in words is "eight hundred fifty-three billion, forty-seven million, nine hundred fifty-four thousand, five hundred twenty-eight".