540902350080 has 216 divisors, whose sum is σ = 1911286121472. Its totient is φ = 141171535872.

The previous prime is 540902350067. The next prime is 540902350091. The reversal of 540902350080 is 80053209045.

540902350080 is a `hidden beast` number, since 5 + 40 + 90 + 23 + 500 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41937 + ... + 1040943.

Almost surely, 2^540902350080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540902350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955643060736).

540902350080 is an abundant number, since it is smaller than the sum of its proper divisors (1370383771392).

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

540902350080 is a wasteful number, since it uses less digits than its factorization.

540902350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999081 (or 999064 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 540902350080 in words is "five hundred forty billion, nine hundred two million, three hundred fifty thousand, eighty".