850540953600 has 2040 divisors, whose sum is σ = 3716853746760. Its totient is φ = 190253629440.

The previous prime is 850540953529. The next prime is 850540953607. The reversal of 850540953600 is 6359045058.

850540953600 is a `hidden beast` number, since 8 + 50 + 540 + 9 + 53 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 247669456896 + 602871496704 = 497664^2 + 776448^2 .

It is a tau number, because it is divible by the number of its divisors (2040).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850540953607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29328998386 + ... + 29328998414.

Almost surely, 2^850540953600 is an apocalyptic number.

850540953600 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 850540953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858426873380).

850540953600 is an abundant number, since it is smaller than the sum of its proper divisors (2866312793160).

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

850540953600 is a wasteful number, since it uses less digits than its factorization.

850540953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 850540953600 its reverse (6359045058), we get a palindrome (856899998658).

The spelling of 850540953600 in words is "eight hundred fifty billion, five hundred forty million, nine hundred fifty-three thousand, six hundred".