540757389312 has 1560 divisors, whose sum is σ = 2060876568960. Its totient is φ = 140460687360.

The previous prime is 540757389307. The next prime is 540757389317. The reversal of 540757389312 is 213983757045.

540757389312 is a `hidden beast` number, since 54 + 0 + 7 + 573 + 8 + 9 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (540757389307) and next prime (540757389317).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540757389317) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14615064558 + ... + 14615064594.

Almost surely, 2^540757389312 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 540757389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030438284480).

540757389312 is an abundant number, since it is smaller than the sum of its proper divisors (1520119179648).

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

540757389312 is a wasteful number, since it uses less digits than its factorization.

540757389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 540757389312 in words is "five hundred forty billion, seven hundred fifty-seven million, three hundred eighty-nine thousand, three hundred twelve".