4957852989600 has 1728 divisors, whose sum is σ = 21528494088192. Its totient is φ = 1089510912000.

The previous prime is 4957852989511. The next prime is 4957852989611. The reversal of 4957852989600 is 69892587594.

4957852989600 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 8 + 5 + 2 + 9 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8900992522 + ... + 8900993078.

It is an arithmetic number, because the mean of its divisors is an integer number (12458619264).

Almost surely, 2^{4957852989600} is an apocalyptic number.

4957852989600 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 4957852989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764247044096).

4957852989600 is an abundant number, since it is smaller than the sum of its proper divisors (16570641098592).

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

4957852989600 is a wasteful number, since it uses less digits than its factorization.

4957852989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 4957852989600 in words is "four trillion, nine hundred fifty-seven billion, eight hundred fifty-two million, nine hundred eighty-nine thousand, six hundred".