540053958528 has 256 divisors, whose sum is σ = 1823750208000. Its totient is φ = 154119905280.

The previous prime is 540053958473. The next prime is 540053958533. The reversal of 540053958528 is 825859350045.

It is a happy number.

540053958528 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 5 + 39 + 585 + 28 = 666.

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

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, 21300483 + ... + 21325821.

It is an arithmetic number, because the mean of its divisors is an integer number (7124024250).

Almost surely, 2^540053958528 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 540053958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911875104000).

540053958528 is an abundant number, since it is smaller than the sum of its proper divisors (1283696249472).

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

540053958528 is a wasteful number, since it uses less digits than its factorization.

540053958528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26250 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 540053958528 in words is "five hundred forty billion, fifty-three million, nine hundred fifty-eight thousand, five hundred twenty-eight".