540025769647584 has 240 divisors, whose sum is σ = 1788472444340736. Its totient is φ = 158365328083200.

The previous prime is 540025769647579. The next prime is 540025769647589. The reversal of 540025769647584 is 485746967520045.

540025769647584 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 2 + 5 + 76 + 9 + 6 + 475 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (540025769647579) and next prime (540025769647589).

It is a super-3 number, since 3×540025769647584³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540025769647589) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304604802 + ... + 306372545.

Almost surely, 2^{540025769647584} is an apocalyptic number.

540025769647584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540025769647584 is an abundant number, since it is smaller than the sum of its proper divisors (1248446674693152).

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

540025769647584 is a wasteful number, since it uses less digits than its factorization.

540025769647584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610977411 (or 610977394 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 540025769647584 in words is "five hundred forty trillion, twenty-five billion, seven hundred sixty-nine million, six hundred forty-seven thousand, five hundred eighty-four".