6159954958080 has 1152 divisors, whose sum is σ = 25084208701440. Its totient is φ = 1251255582720.

The previous prime is 6159954958049. The next prime is 6159954958097. The reversal of 6159954958080 is 808594599516.

It is a junction number, because it is equal to n+sod(n) for n = 6159954957996 and 6159954958014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2753666722 + ... + 2753668958.

It is an arithmetic number, because the mean of its divisors is an integer number (21774486720).

Almost surely, 2^{6159954958080} is an apocalyptic number.

6159954958080 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 6159954958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542104350720).

6159954958080 is an abundant number, since it is smaller than the sum of its proper divisors (18924253743360).

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

6159954958080 is a wasteful number, since it uses less digits than its factorization.

6159954958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 69.

The spelling of 6159954958080 in words is "six trillion, one hundred fifty-nine billion, nine hundred fifty-four million, nine hundred fifty-eight thousand, eighty".