8352660254400 has 1680 divisors, whose sum is σ = 40293719727360. Its totient is φ = 1644232089600.

The previous prime is 8352660254353. The next prime is 8352660254441. The reversal of 8352660254400 is 44520662538.

8352660254400 is a `hidden beast` number, since 8 + 3 + 526 + 60 + 25 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 189582774 + ... + 189626826.

Almost surely, 2^{8352660254400} is an apocalyptic number.

8352660254400 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 8352660254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146859863680).

8352660254400 is an abundant number, since it is smaller than the sum of its proper divisors (31941059472960).

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

8352660254400 is a wasteful number, since it uses less digits than its factorization.

8352660254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44124 (or 44100 counting only the distinct ones).

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

The spelling of 8352660254400 in words is "eight trillion, three hundred fifty-two billion, six hundred sixty million, two hundred fifty-four thousand, four hundred".