853996070400 has 960 divisors, whose sum is σ = 3275947825920. Its totient is φ = 193934131200.

The previous prime is 853996070387. The next prime is 853996070407. The reversal of 853996070400 is 4070699358.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853996070407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778482652 + ... + 778483748.

It is an arithmetic number, because the mean of its divisors is an integer number (3412445652).

Almost surely, 2^853996070400 is an apocalyptic number.

853996070400 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 853996070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637973912960).

853996070400 is an abundant number, since it is smaller than the sum of its proper divisors (2421951755520).

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

853996070400 is a wasteful number, since it uses less digits than its factorization.

853996070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 853996070400 in words is "eight hundred fifty-three billion, nine hundred ninety-six million, seventy thousand, four hundred".