8532912288000 has 576 divisors, whose sum is σ = 29296127427840. Its totient is φ = 2200117248000.

The previous prime is 8532912287969. The next prime is 8532912288037. The reversal of 8532912288000 is 8822192358.

It is a happy number.

It is a super-2 number, since 2×8532912288000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345491652 + ... + 345516348.

It is an arithmetic number, because the mean of its divisors is an integer number (50861332340).

Almost surely, 2^{8532912288000} is an apocalyptic number.

8532912288000 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 8532912288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648063713920).

8532912288000 is an abundant number, since it is smaller than the sum of its proper divisors (20763215139840).

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

8532912288000 is a wasteful number, since it uses less digits than its factorization.

8532912288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24851 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 8532912288000 in words is "eight trillion, five hundred thirty-two billion, nine hundred twelve million, two hundred eighty-eight thousand".