4758912000000 has 1568 divisors, whose sum is σ = 18891405061920. Its totient is φ = 1194393600000.

The previous prime is 4758911999927. The next prime is 4758912000001. The reversal of 4758912000000 is 2198574.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758912000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 279935999992 + ... + 279936000008.

Almost surely, 2^{4758912000000} is an apocalyptic number.

4758912000000 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 4758912000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445702530960).

4758912000000 is an abundant number, since it is smaller than the sum of its proper divisors (14132493061920).

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

4758912000000 is an frugal number, since it uses more digits than its factorization.

4758912000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 4758912000000 its reverse (2198574), we get a palindrome (4758914198574).

The spelling of 4758912000000 in words is "four trillion, seven hundred fifty-eight billion, nine hundred twelve million", and thus it is an aban number.