6105005606040 has 128 divisors (see below), whose sum is σ = 19996855845120. Its totient is φ = 1478754137600.

The previous prime is 6105005606003. The next prime is 6105005606143. The reversal of 6105005606040 is 406065005016.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6105005605992 and 6105005606010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381351 + ... + 3515030.

It is an arithmetic number, because the mean of its divisors is an integer number (156225436290).

Almost surely, 2^{6105005606040} is an apocalyptic number.

6105005606040 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 6105005606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998427922560).

6105005606040 is an abundant number, since it is smaller than the sum of its proper divisors (13891850239080).

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

6105005606040 is a wasteful number, since it uses less digits than its factorization.

6105005606040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897593 (or 3897589 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 6105005606040 in words is "six trillion, one hundred five billion, five million, six hundred six thousand, forty".