4892814875520 has 3072 divisors, whose sum is σ = 21844238008320. Its totient is φ = 1030164480000.

The previous prime is 4892814875477. The next prime is 4892814875537. The reversal of 4892814875520 is 255784182984.

4892814875520 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 81 + 487 + 55 + 20 = 666.

It is a super-2 number, since 2×4892814875520² (a number of 26 digits) contains 22 as substring.

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, 32402747445 + ... + 32402747595.

It is an arithmetic number, because the mean of its divisors is an integer number (7110754560).

Almost surely, 2^{4892814875520} is an apocalyptic number.

4892814875520 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 4892814875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922119004160).

4892814875520 is an abundant number, since it is smaller than the sum of its proper divisors (16951423132800).

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

4892814875520 is a wasteful number, since it uses less digits than its factorization.

4892814875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 4892814875520 in words is "four trillion, eight hundred ninety-two billion, eight hundred fourteen million, eight hundred seventy-five thousand, five hundred twenty".