20735449975296 has 960 divisors, whose sum is σ = 76832659537920. Its totient is φ = 5240521359360.

The previous prime is 20735449975283. The next prime is 20735449975301. The reversal of 20735449975296 is 69257994453702.

20735449975296 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 5 + 4 + 4 + 9 + 97 + 529 + 6 = 666.

It is a super-4 number, since 4×20735449975296⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323165541 + ... + 1323181211.

It is an arithmetic number, because the mean of its divisors is an integer number (80034020352).

Almost surely, 2^{20735449975296} 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 20735449975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38416329768960).

20735449975296 is an abundant number, since it is smaller than the sum of its proper divisors (56097209562624).

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

20735449975296 is a wasteful number, since it uses less digits than its factorization.

20735449975296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15865 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 20735449975296 in words is "twenty trillion, seven hundred thirty-five billion, four hundred forty-nine million, nine hundred seventy-five thousand, two hundred ninety-six".