8420955903360 has 5376 divisors, whose sum is σ = 43480610265600. Its totient is φ = 1509235752960.

The previous prime is 8420955903313. The next prime is 8420955903361. The reversal of 8420955903360 is 633095590248.

8420955903360 is a `hidden beast` number, since 8 + 4 + 20 + 9 + 559 + 0 + 3 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8420955903297 and 8420955903306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8420955903361) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 115355560284 + ... + 115355560356.

Almost surely, 2^{8420955903360} is an apocalyptic number.

8420955903360 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 8420955903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740305132800).

8420955903360 is an abundant number, since it is smaller than the sum of its proper divisors (35059654362240).

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

8420955903360 is a wasteful number, since it uses less digits than its factorization.

8420955903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 8420955903360 in words is "eight trillion, four hundred twenty billion, nine hundred fifty-five million, nine hundred three thousand, three hundred sixty".