5537125440 has 1344 divisors, whose sum is σ = 26268883200. Its totient is φ = 1083801600.

The previous prime is 5537125439. The next prime is 5537125453. The reversal of 5537125440 is 445217355.

5537125440 is a `hidden beast` number, since 553 + 7 + 12 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 5537125395 and 5537125404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135051820 + ... + 135051860.

It is an arithmetic number, because the mean of its divisors is an integer number (19545300).

Almost surely, 2^5537125440 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 5537125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13134441600).

5537125440 is an abundant number, since it is smaller than the sum of its proper divisors (20731757760).

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

5537125440 is a wasteful number, since it uses less digits than its factorization.

5537125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5537125440 is about 74411.8635702668. The cubic root of 5537125440 is about 1769.1369535674.

The spelling of 5537125440 in words is "five billion, five hundred thirty-seven million, one hundred twenty-five thousand, four hundred forty".