540260060032 has 256 divisors, whose sum is σ = 1391294361600. Its totient is φ = 202799923200.

The previous prime is 540260059957. The next prime is 540260060069. The reversal of 540260060032 is 230060062045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71186094 + ... + 71193682.

It is an arithmetic number, because the mean of its divisors is an integer number (5434743600).

Almost surely, 2^540260060032 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 540260060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695647180800).

540260060032 is an abundant number, since it is smaller than the sum of its proper divisors (851034301568).

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

540260060032 is a wasteful number, since it uses less digits than its factorization.

540260060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 540260060032 in words is "five hundred forty billion, two hundred sixty million, sixty thousand, thirty-two".