4932525628800 has 1536 divisors, whose sum is σ = 23830410470400. Its totient is φ = 964627660800.

The previous prime is 4932525628757. The next prime is 4932525628873. The reversal of 4932525628800 is 88265252394.

4932525628800 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 5 + 2 + 5 + 628 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113075794 + ... + 113119406.

It is an arithmetic number, because the mean of its divisors is an integer number (15514590150).

Almost surely, 2^{4932525628800} is an apocalyptic number.

4932525628800 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 4932525628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915205235200).

4932525628800 is an abundant number, since it is smaller than the sum of its proper divisors (18897884841600).

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

4932525628800 is a wasteful number, since it uses less digits than its factorization.

4932525628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43681 (or 43658 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4932525628800 in words is "four trillion, nine hundred thirty-two billion, five hundred twenty-five million, six hundred twenty-eight thousand, eight hundred".