842686545600 has 1260 divisors, whose sum is σ = 3334448449200. Its totient is φ = 208687104000.

The previous prime is 842686545593. The next prime is 842686545611. The reversal of 842686545600 is 6545686248.

842686545600 is a `hidden beast` number, since 8 + 4 + 26 + 8 + 6 + 5 + 4 + 5 + 600 = 666.

It is a super-2 number, since 2×842686545600² (a number of 25 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 179 ways as a sum of consecutive naturals, for example, 5580705525 + ... + 5580705675.

Almost surely, 2^842686545600 is an apocalyptic number.

842686545600 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 842686545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667224224600).

842686545600 is an abundant number, since it is smaller than the sum of its proper divisors (2491761903600).

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

842686545600 is a wasteful number, since it uses less digits than its factorization.

842686545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 842686545600 in words is "eight hundred forty-two billion, six hundred eighty-six million, five hundred forty-five thousand, six hundred".