5437409609088 has 192 divisors, whose sum is σ = 17138388758400. Its totient is φ = 1647031271424.

The previous prime is 5437409609087. The next prime is 5437409609113. The reversal of 5437409609088 is 8809069047345.

5437409609088 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 409 + 60 + 90 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437409609087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4219056 + ... + 5354927.

It is an arithmetic number, because the mean of its divisors is an integer number (89262441450).

Almost surely, 2^{5437409609088} is an apocalyptic number.

5437409609088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5437409609088 is an abundant number, since it is smaller than the sum of its proper divisors (11700979149312).

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

5437409609088 is a wasteful number, since it uses less digits than its factorization.

5437409609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574049 (or 9574034 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5437409609088 in words is "five trillion, four hundred thirty-seven billion, four hundred nine million, six hundred nine thousand, eighty-eight".