5540252256 has 576 divisors, whose sum is σ = 21486366720. Its totient is φ = 1360488960.

The previous prime is 5540252219. The next prime is 5540252257. The reversal of 5540252256 is 6522520455.

5540252256 is a `hidden beast` number, since 554 + 0 + 2 + 52 + 2 + 56 = 666.

It is a super-2 number, since 2×5540252256² = 61388790120226179072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5540252256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540252257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11376045 + ... + 11376531.

It is an arithmetic number, because the mean of its divisors is an integer number (37302720).

Almost surely, 2^5540252256 is an apocalyptic number.

5540252256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743183360).

5540252256 is an abundant number, since it is smaller than the sum of its proper divisors (15946114464).

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

5540252256 is a wasteful number, since it uses less digits than its factorization.

5540252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5540252256 is about 74432.8708031606. The cubic root of 5540252256 is about 1769.4699015838.

The spelling of 5540252256 in words is "five billion, five hundred forty million, two hundred fifty-two thousand, two hundred fifty-six".