4959125927280 has 1600 divisors, whose sum is σ = 21683713582080. Its totient is φ = 1024192512000.

The previous prime is 4959125927219. The next prime is 4959125927311. The reversal of 4959125927280 is 827295219594.

4959125927280 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 12 + 592 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4718482755 + ... + 4718483805.

Almost surely, 2^{4959125927280} is an apocalyptic number.

4959125927280 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 4959125927280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841856791040).

4959125927280 is an abundant number, since it is smaller than the sum of its proper divisors (16724587654800).

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

4959125927280 is a wasteful number, since it uses less digits than its factorization.

4959125927280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 4959125927280 in words is "four trillion, nine hundred fifty-nine billion, one hundred twenty-five million, nine hundred twenty-seven thousand, two hundred eighty".