36561525557632 has 256 divisors, whose sum is σ = 81587316096000. Its totient is φ = 16257981358080.

The previous prime is 36561525557629. The next prime is 36561525557663. The reversal of 36561525557632 is 23675552516563.

It is a super-2 number, since 2×36561525557632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260582794 + ... + 260723062.

It is an arithmetic number, because the mean of its divisors is an integer number (318700453500).

Almost surely, 2^{36561525557632} is an apocalyptic number.

36561525557632 is a gapful number since it is divisible by the number (32) 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 36561525557632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40793658048000).

36561525557632 is an abundant number, since it is smaller than the sum of its proper divisors (45025790538368).

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

36561525557632 is a wasteful number, since it uses less digits than its factorization.

36561525557632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140449 (or 140437 counting only the distinct ones).

The product of its digits is 170100000, while the sum is 61.

The spelling of 36561525557632 in words is "thirty-six trillion, five hundred sixty-one billion, five hundred twenty-five million, five hundred fifty-seven thousand, six hundred thirty-two".