8385353222400 has 1944 divisors, whose sum is σ = 38301027264864. Its totient is φ = 1730676326400.

The previous prime is 8385353222387. The next prime is 8385353222429. The reversal of 8385353222400 is 42223535838.

8385353222400 is a `hidden beast` number, since 8 + 3 + 8 + 53 + 532 + 22 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5060562372 + ... + 5060564028.

Almost surely, 2^{8385353222400} is an apocalyptic number.

8385353222400 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 8385353222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150513632432).

8385353222400 is an abundant number, since it is smaller than the sum of its proper divisors (29915674042464).

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

8385353222400 is a wasteful number, since it uses less digits than its factorization.

8385353222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 8385353222400 in words is "eight trillion, three hundred eighty-five billion, three hundred fifty-three million, two hundred twenty-two thousand, four hundred".