20823268527360 has 1152 divisors, whose sum is σ = 86031371328000. Its totient is φ = 4724638875648.

The previous prime is 20823268527331. The next prime is 20823268527403. The reversal of 20823268527360 is 6372586232802.

20823268527360 is a `hidden beast` number, since 2 + 0 + 8 + 23 + 2 + 68 + 527 + 36 + 0 = 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 junction number, because it is equal to n+sod(n) for n = 20823268527297 and 20823268527306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315810876 + ... + 315876804.

Almost surely, 2^{20823268527360} is an apocalyptic number.

20823268527360 is a gapful number since it is divisible by the number (20) 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 20823268527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43015685664000).

20823268527360 is an abundant number, since it is smaller than the sum of its proper divisors (65208102800640).

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

20823268527360 is a wasteful number, since it uses less digits than its factorization.

20823268527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66028 (or 66008 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20823268527360 in words is "twenty trillion, eight hundred twenty-three billion, two hundred sixty-eight million, five hundred twenty-seven thousand, three hundred sixty".