5536157663232 has 1152 divisors, whose sum is σ = 19810461081600. Its totient is φ = 1513535569920.

The previous prime is 5536157663221. The next prime is 5536157663237. The reversal of 5536157663232 is 2323667516355.

5536157663232 is a `hidden beast` number, since 5 + 5 + 3 + 6 + 1 + 576 + 6 + 32 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5536157663237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62204018644 + ... + 62204018732.

It is an arithmetic number, because the mean of its divisors is an integer number (17196580800).

Almost surely, 2^{5536157663232} 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 5536157663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905230540800).

5536157663232 is an abundant number, since it is smaller than the sum of its proper divisors (14274303418368).

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

5536157663232 is an frugal number, since it uses more digits than its factorization.

5536157663232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 54.

The spelling of 5536157663232 in words is "five trillion, five hundred thirty-six billion, one hundred fifty-seven million, six hundred sixty-three thousand, two hundred thirty-two".