540301966890 has 128 divisors (see below), whose sum is σ = 1508028641280. Its totient is φ = 121344473088.

The previous prime is 540301966861. The next prime is 540301966891. The reversal of 540301966890 is 98669103045.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540301966891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2736019 + ... + 2926841.

It is an arithmetic number, because the mean of its divisors is an integer number (11781473760).

Almost surely, 2^540301966890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540301966890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754014320640).

540301966890 is an abundant number, since it is smaller than the sum of its proper divisors (967726674390).

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

540301966890 is a wasteful number, since it uses less digits than its factorization.

540301966890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191076.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 540301966890 in words is "five hundred forty billion, three hundred one million, nine hundred sixty-six thousand, eight hundred ninety".