850561455348000 has 1920 divisors, whose sum is σ = 3447246334371840. Its totient is φ = 203687654400000.

The previous prime is 850561455347977. The next prime is 850561455348013. The reversal of 850561455348000 is 843554165058.

850561455348000 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 6 + 1 + 4 + 553 + 4 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×850561455348000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 172422753534 + ... + 172422758466.

It is an arithmetic number, because the mean of its divisors is an integer number (1795440799152).

Almost surely, 2^{850561455348000} is an apocalyptic number.

850561455348000 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 850561455348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723623167185920).

850561455348000 is an abundant number, since it is smaller than the sum of its proper divisors (2596684879023840).

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

850561455348000 is a wasteful number, since it uses less digits than its factorization.

850561455348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 850561455348000 in words is "eight hundred fifty trillion, five hundred sixty-one billion, four hundred fifty-five million, three hundred forty-eight thousand".