4952988057600 has 1080 divisors, whose sum is σ = 19558494855900. Its totient is φ = 1197264076800.

The previous prime is 4952988057571. The next prime is 4952988057617. The reversal of 4952988057600 is 67508892594.

4952988057600 is a `hidden beast` number, since 4 + 9 + 52 + 9 + 8 + 8 + 0 + 576 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14273740627 + ... + 14273740973.

Almost surely, 2^{4952988057600} is an apocalyptic number.

4952988057600 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 4952988057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779247427950).

4952988057600 is an abundant number, since it is smaller than the sum of its proper divisors (14605506798300).

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

4952988057600 is an equidigital number, since it uses as much as digits as its factorization.

4952988057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 4952988057600 in words is "four trillion, nine hundred fifty-two billion, nine hundred eighty-eight million, fifty-seven thousand, six hundred".