20523690133632 has 512 divisors, whose sum is σ = 71954584934400. Its totient is φ = 5636666880000.

The previous prime is 20523690133589. The next prime is 20523690133649. The reversal of 20523690133632 is 23633109632502.

20523690133632 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 3 + 6 + 9 + 0 + 1 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×20523690133632² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74155507 + ... + 74431757.

It is an arithmetic number, because the mean of its divisors is an integer number (140536298700).

Almost surely, 2^{20523690133632} 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 20523690133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35977292467200).

20523690133632 is an abundant number, since it is smaller than the sum of its proper divisors (51430894800768).

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

20523690133632 is a wasteful number, since it uses less digits than its factorization.

20523690133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276401 (or 276383 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 20523690133632 in words is "twenty trillion, five hundred twenty-three billion, six hundred ninety million, one hundred thirty-three thousand, six hundred thirty-two".