4857215616000 has 528 divisors, whose sum is σ = 19094592336768. Its totient is φ = 1177503744000.

The previous prime is 4857215615957. The next prime is 4857215616017. The reversal of 4857215616000 is 6165127584.

4857215616000 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 21 + 5 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12480349 + ... + 12863651.

Almost surely, 2^{4857215616000} is an apocalyptic number.

4857215616000 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 4857215616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547296168384).

4857215616000 is an abundant number, since it is smaller than the sum of its proper divisors (14237376720768).

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

4857215616000 is a wasteful number, since it uses less digits than its factorization.

4857215616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383355 (or 383324 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 4857215616000 in words is "four trillion, eight hundred fifty-seven billion, two hundred fifteen million, six hundred sixteen thousand".