4964552985600 has 2112 divisors, whose sum is σ = 20980407168000. Its totient is φ = 1154500853760.

The previous prime is 4964552985589. The next prime is 4964552985641. The reversal of 4964552985600 is 65892554694.

It is a happy number.

4964552985600 is a `hidden beast` number, since 4 + 9 + 6 + 45 + 5 + 29 + 8 + 560 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13828838221 + ... + 13828838579.

Almost surely, 2^{4964552985600} is an apocalyptic number.

4964552985600 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 4964552985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490203584000).

4964552985600 is an abundant number, since it is smaller than the sum of its proper divisors (16015854182400).

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

4964552985600 is a wasteful number, since it uses less digits than its factorization.

4964552985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 4964552985600 in words is "four trillion, nine hundred sixty-four billion, five hundred fifty-two million, nine hundred eighty-five thousand, six hundred".