5536591529040 has 1920 divisors, whose sum is σ = 23976700392960. Its totient is φ = 1171834490880.

The previous prime is 5536591529003. The next prime is 5536591529089. The reversal of 5536591529040 is 409251956355.

5536591529040 is a `hidden beast` number, since 5 + 5 + 3 + 6 + 591 + 5 + 2 + 9 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9031959774 + ... + 9031960386.

It is an arithmetic number, because the mean of its divisors is an integer number (12487864788).

Almost surely, 2^{5536591529040} 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 5536591529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988350196480).

5536591529040 is an abundant number, since it is smaller than the sum of its proper divisors (18440108863920).

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

5536591529040 is a wasteful number, since it uses less digits than its factorization.

5536591529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 5536591529040 in words is "five trillion, five hundred thirty-six billion, five hundred ninety-one million, five hundred twenty-nine thousand, forty".