540086571024 has 640 divisors, whose sum is σ = 1931036405760. Its totient is φ = 125527449600.

The previous prime is 540086571007. The next prime is 540086571107. The reversal of 540086571024 is 420175680045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 819554407 + ... + 819555065.

It is an arithmetic number, because the mean of its divisors is an integer number (3017244384).

Almost surely, 2^540086571024 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 540086571024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965518202880).

540086571024 is an abundant number, since it is smaller than the sum of its proper divisors (1390949834736).

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

540086571024 is a wasteful number, since it uses less digits than its factorization.

540086571024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 540086571024 in words is "five hundred forty billion, eighty-six million, five hundred seventy-one thousand, twenty-four".