4948759152000 has 1536 divisors, whose sum is σ = 20035575705600. Its totient is φ = 1209323520000.

The previous prime is 4948759151929. The next prime is 4948759152011. The reversal of 4948759152000 is 2519578494.

It is a happy number.

4948759152000 is a `hidden beast` number, since 4 + 9 + 48 + 7 + 591 + 5 + 2 + 0 + 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, 2290030920 + ... + 2290033080.

It is an arithmetic number, because the mean of its divisors is an integer number (13043994600).

Almost surely, 2^{4948759152000} is an apocalyptic number.

4948759152000 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 4948759152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017787852800).

4948759152000 is an abundant number, since it is smaller than the sum of its proper divisors (15086816553600).

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

4948759152000 is a wasteful number, since it uses less digits than its factorization.

4948759152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 4948759152000 in words is "four trillion, nine hundred forty-eight billion, seven hundred fifty-nine million, one hundred fifty-two thousand".