853201736640 has 896 divisors, whose sum is σ = 3606803251200. Its totient is φ = 187421921280.

The previous prime is 853201736627. The next prime is 853201736669. The reversal of 853201736640 is 46637102358.

853201736640 is a `hidden beast` number, since 8 + 532 + 0 + 1 + 73 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41522209 + ... + 41542751.

Almost surely, 2^853201736640 is an apocalyptic number.

853201736640 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 853201736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803401625600).

853201736640 is an abundant number, since it is smaller than the sum of its proper divisors (2753601514560).

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

853201736640 is a wasteful number, since it uses less digits than its factorization.

853201736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20622 (or 20606 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 853201736640 its reverse (46637102358), we get a palindrome (899838838998).

The spelling of 853201736640 in words is "eight hundred fifty-three billion, two hundred one million, seven hundred thirty-six thousand, six hundred forty".