5540085936 has 640 divisors, whose sum is σ = 21418629120. Its totient is φ = 1327104000.

The previous prime is 5540085931. The next prime is 5540085959. The reversal of 5540085936 is 6395800455.

5540085936 is a `hidden beast` number, since 5 + 54 + 0 + 0 + 8 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5540085891 and 5540085900.

It is not an unprimeable number, because it can be changed into a prime (5540085931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54852286 + ... + 54852386.

It is an arithmetic number, because the mean of its divisors is an integer number (33466608).

Almost surely, 2^5540085936 is an apocalyptic number.

5540085936 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 5540085936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709314560).

5540085936 is an abundant number, since it is smaller than the sum of its proper divisors (15878543184).

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

5540085936 is a wasteful number, since it uses less digits than its factorization.

5540085936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5540085936 is about 74431.7535464535. The cubic root of 5540085936 is about 1769.4521947379.

The spelling of 5540085936 in words is "five billion, five hundred forty million, eighty-five thousand, nine hundred thirty-six".