8553676454400 has 1440 divisors, whose sum is σ = 37747014750720. Its totient is φ = 1683763200000.

The previous prime is 8553676454369. The next prime is 8553676454447. The reversal of 8553676454400 is 44546763558.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393243525 + ... + 393265275.

It is an arithmetic number, because the mean of its divisors is an integer number (26213204688).

Almost surely, 2^{8553676454400} is an apocalyptic number.

8553676454400 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 8553676454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873507375360).

8553676454400 is an abundant number, since it is smaller than the sum of its proper divisors (29193338296320).

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

8553676454400 is a wasteful number, since it uses less digits than its factorization.

8553676454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21798 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 8553676454400 in words is "eight trillion, five hundred fifty-three billion, six hundred seventy-six million, four hundred fifty-four thousand, four hundred".