4975685107200 has 1680 divisors, whose sum is σ = 19379835611136. Its totient is φ = 1263967027200.

The previous prime is 4975685107181. The next prime is 4975685107201. The reversal of 4975685107200 is 27015865794.

4975685107200 is a `hidden beast` number, since 4 + 9 + 7 + 56 + 8 + 510 + 72 + 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 not an unprimeable number, because it can be changed into a prime (4975685107201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29794521517 + ... + 29794521683.

Almost surely, 2^{4975685107200} is an apocalyptic number.

4975685107200 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 4975685107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689917805568).

4975685107200 is an abundant number, since it is smaller than the sum of its proper divisors (14404150503936).

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

4975685107200 is a wasteful number, since it uses less digits than its factorization.

4975685107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 4975685107200 in words is "four trillion, nine hundred seventy-five billion, six hundred eighty-five million, one hundred seven thousand, two hundred".