8552918400 has 384 divisors, whose sum is σ = 31943788800. Its totient is φ = 1993973760.

The previous prime is 8552918371. The next prime is 8552918431. The reversal of 8552918400 is 48192558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2369397 + ... + 2373003.

It is an arithmetic number, because the mean of its divisors is an integer number (83186950).

Almost surely, 2^8552918400 is an apocalyptic number.

8552918400 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 8552918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971894400).

8552918400 is an abundant number, since it is smaller than the sum of its proper divisors (23390870400).

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

8552918400 is a wasteful number, since it uses less digits than its factorization.

8552918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 8552918400 is about 92481.9895979752. The cubic root of 8552918400 is about 2045.0539815936.

The spelling of 8552918400 in words is "eight billion, five hundred fifty-two million, nine hundred eighteen thousand, four hundred".