540883381248 has 1188 divisors, whose sum is σ = 1984155331392. Its totient is φ = 146731253760.

The previous prime is 540883381223. The next prime is 540883381253. The reversal of 540883381248 is 842183388045.

540883381248 is a `hidden beast` number, since 5 + 408 + 83 + 38 + 124 + 8 = 666.

It is a super-2 number, since 2×540883381248² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 540883381194 and 540883381203.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10205346790 + ... + 10205346842.

Almost surely, 2^540883381248 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 540883381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992077665696).

540883381248 is an abundant number, since it is smaller than the sum of its proper divisors (1443271950144).

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

540883381248 is an frugal number, since it uses more digits than its factorization.

540883381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 540883381248 in words is "five hundred forty billion, eight hundred eighty-three million, three hundred eighty-one thousand, two hundred forty-eight".