6459869157120 has 432 divisors, whose sum is σ = 24242438499552. Its totient is φ = 1581754613760.

The previous prime is 6459869157109. The next prime is 6459869157121. The reversal of 6459869157120 is 217519689546.

6459869157120 is a `hidden beast` number, since 6 + 4 + 59 + 8 + 6 + 9 + 1 + 571 + 2 + 0 = 666.

It is a super-2 number, since 2×6459869157120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459869157121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7627179 + ... + 8431701.

It is an arithmetic number, because the mean of its divisors is an integer number (56116755786).

Almost surely, 2^{6459869157120} is an apocalyptic number.

6459869157120 is a gapful number since it is divisible by the number (60) 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 6459869157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121219249776).

6459869157120 is an abundant number, since it is smaller than the sum of its proper divisors (17782569342432).

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

6459869157120 is a wasteful number, since it uses less digits than its factorization.

6459869157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804608 (or 804591 counting only the distinct ones).

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

The spelling of 6459869157120 in words is "six trillion, four hundred fifty-nine billion, eight hundred sixty-nine million, one hundred fifty-seven thousand, one hundred twenty".