4983535065600 has 1920 divisors, whose sum is σ = 22650043637760. Its totient is φ = 1045094400000.

The previous prime is 4983535065589. The next prime is 4983535065611. The reversal of 4983535065600 is 65605353894.

It is a happy number.

4983535065600 is a `hidden beast` number, since 4 + 9 + 83 + 5 + 3 + 506 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4983535065589) and next prime (4983535065611).

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 6635865225 + ... + 6635865975.

It is an arithmetic number, because the mean of its divisors is an integer number (11796897728).

Almost surely, 2^{4983535065600} is an apocalyptic number.

4983535065600 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 4983535065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325021818880).

4983535065600 is an abundant number, since it is smaller than the sum of its proper divisors (17666508572160).

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

4983535065600 is a wasteful number, since it uses less digits than its factorization.

4983535065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 4983535065600 in words is "four trillion, nine hundred eighty-three billion, five hundred thirty-five million, sixty-five thousand, six hundred".