20331273156480 has 1152 divisors, whose sum is σ = 83458926270720. Its totient is φ = 4530290688000.

The previous prime is 20331273156463. The next prime is 20331273156499. The reversal of 20331273156480 is 8465137213302.

20331273156480 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 1 + 2 + 7 + 3 + 1 + 564 + 80 = 666.

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

It is a super-3 number, since 3×20331273156480³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2183571025 + ... + 2183580335.

It is an arithmetic number, because the mean of its divisors is an integer number (72446984610).

Almost surely, 2^{20331273156480} is an apocalyptic number.

20331273156480 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 20331273156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41729463135360).

20331273156480 is an abundant number, since it is smaller than the sum of its proper divisors (63127653114240).

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

20331273156480 is a wasteful number, since it uses less digits than its factorization.

20331273156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9586 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20331273156480 in words is "twenty trillion, three hundred thirty-one billion, two hundred seventy-three million, one hundred fifty-six thousand, four hundred eighty".