4832524800000 has 1560 divisors, whose sum is σ = 18582141916800. Its totient is φ = 1250795520000.

The previous prime is 4832524799983. The next prime is 4832524800011. The reversal of 4832524800000 is 84252384.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61171199961 + ... + 61171200039.

Almost surely, 2^{4832524800000} is an apocalyptic number.

4832524800000 is a gapful number since it is divisible by the number (40) 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 4832524800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291070958400).

4832524800000 is an abundant number, since it is smaller than the sum of its proper divisors (13749617116800).

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

4832524800000 is an frugal number, since it uses more digits than its factorization.

4832524800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4832524800000 in words is "four trillion, eight hundred thirty-two billion, five hundred twenty-four million, eight hundred thousand".