540025817616 has 320 divisors, whose sum is σ = 1637806007040. Its totient is φ = 170171228160.

The previous prime is 540025817509. The next prime is 540025817633. The reversal of 540025817616 is 616718520045.

540025817616 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 2 + 581 + 7 + 61 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80923656 + ... + 80930328.

It is an arithmetic number, because the mean of its divisors is an integer number (5118143772).

Almost surely, 2^540025817616 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 540025817616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818903003520).

540025817616 is an abundant number, since it is smaller than the sum of its proper divisors (1097780189424).

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

540025817616 is a wasteful number, since it uses less digits than its factorization.

540025817616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 540025817616 in words is "five hundred forty billion, twenty-five million, eight hundred seventeen thousand, six hundred sixteen".