540015303485952 has 800 divisors, whose sum is σ = 1986305517060480. Its totient is φ = 142604384993280.

The previous prime is 540015303485929. The next prime is 540015303485963. The reversal of 540015303485952 is 259584303510045.

540015303485952 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 1 + 5 + 3 + 0 + 3 + 48 + 595 + 2 = 666.

It is a super-2 number, since 2×540015303485952² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224952868 + ... + 227340764.

Almost surely, 2^{540015303485952} 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 540015303485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993152758530240).

540015303485952 is an abundant number, since it is smaller than the sum of its proper divisors (1446290213574528).

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

540015303485952 is a wasteful number, since it uses less digits than its factorization.

540015303485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387994 (or 2387969 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

Adding to 540015303485952 its reverse (259584303510045), we get a palindrome (799599606995997).

The spelling of 540015303485952 in words is "five hundred forty trillion, fifteen billion, three hundred three million, four hundred eighty-five thousand, nine hundred fifty-two".