853118361600 has 672 divisors, whose sum is σ = 3001407540480. Its totient is φ = 213197783040.

The previous prime is 853118361553. The next prime is 853118361647. The reversal of 853118361600 is 6163811358.

It is an interprime number because it is at equal distance from previous prime (853118361553) and next prime (853118361647).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249074859 + ... + 1249075541.

Almost surely, 2^853118361600 is an apocalyptic number.

853118361600 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 853118361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500703770240).

853118361600 is an abundant number, since it is smaller than the sum of its proper divisors (2148289178880).

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

853118361600 is a wasteful number, since it uses less digits than its factorization.

853118361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 853118361600 in words is "eight hundred fifty-three billion, one hundred eighteen million, three hundred sixty-one thousand, six hundred".