4515894957960 has 384 divisors, whose sum is σ = 15984245328480. Its totient is φ = 1101092880384.

The previous prime is 4515894957953. The next prime is 4515894958013. The reversal of 4515894957960 is 697594985154.

4515894957960 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 8 + 9 + 49 + 579 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3034138966884 + 1481755991076 = 1741878^2 + 1217274^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152379304 + ... + 152408936.

Almost surely, 2^{4515894957960} is an apocalyptic number.

4515894957960 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 4515894957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992122664240).

4515894957960 is an abundant number, since it is smaller than the sum of its proper divisors (11468350370520).

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

4515894957960 is a wasteful number, since it uses less digits than its factorization.

4515894957960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30377 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 4515894957960 in words is "four trillion, five hundred fifteen billion, eight hundred ninety-four million, nine hundred fifty-seven thousand, nine hundred sixty".