73021821575508 has 1152 divisors, whose sum is σ = 231106525511680. Its totient is φ = 19950210109440.

The previous prime is 73021821575503. The next prime is 73021821575519. The reversal of 73021821575508 is 80557512812037.

It is a happy number.

73021821575508 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 1 + 82 + 1 + 5 + 7 + 550 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73021821575503) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 77931506016 + ... + 77931506952.

Almost surely, 2^{73021821575508} is an apocalyptic number.

73021821575508 is a gapful number since it is divisible by the number (78) 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 73021821575508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115553262755840).

73021821575508 is an abundant number, since it is smaller than the sum of its proper divisors (158084703936172).

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

73021821575508 is a wasteful number, since it uses less digits than its factorization.

73021821575508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 73021821575508 in words is "seventy-three trillion, twenty-one billion, eight hundred twenty-one million, five hundred seventy-five thousand, five hundred eight".