4755351585600 has 2688 divisors, whose sum is σ = 23110101811200. Its totient is φ = 921325363200.

The previous prime is 4755351585583. The next prime is 4755351585629. The reversal of 4755351585600 is 65851535574.

4755351585600 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 3 + 51 + 585 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×4755351585600² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 4234506639 + ... + 4234507761.

Almost surely, 2^{4755351585600} is an apocalyptic number.

4755351585600 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 4755351585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555050905600).

4755351585600 is an abundant number, since it is smaller than the sum of its proper divisors (18354750225600).

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

4755351585600 is a wasteful number, since it uses less digits than its factorization.

4755351585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 4755351585600 in words is "four trillion, seven hundred fifty-five billion, three hundred fifty-one million, five hundred eighty-five thousand, six hundred".